Can Christians accept prayers from other religions? For example, can a Buddhist prays for a Christian and let the person know like health and peace? If yes/no, where is it written in the Bible.
First, I commend the goodwill you demonstrate toward your Christian friend.  You obviously want to give something that your friend can appreciate.
My answer below tries to orient you to make your prayer gift to be well suited to a Christian so it will be well received by a Christian, by considering who a Christian God is, who Jesus is, and what a Christian needs when others pray for them.
Orientation to Christian God and Prayer needs
The most important starting point to keep in mind is that in Christianity prayer is always directed to God who is a REAL, conscious being, separate from our own consciousness.  He is not a projection, not another modality of our consciousness / psychology, but a real being out there.

Christians believe there is One Supreme Creator God who is in control and more powerful than

all other gods (whether they exist or not),
all angels and demons and all other kinds of spiritual beings
all human beings (whether still living, or in between reincarnation, in heaven, in purgatory, etc.)


Christians believe this Supreme God knows all our thoughts, see Ps 139:2.  So of course He can hear all prayers by non Christians, whether addressed to a lesser god, or to Himself under another name (for example, Moslems call this God by the name &quot;Allah&quot;).

There are several Old Testament examples of people who worship a lesser god BUT who acknowledged the existence of the God of Israel and even knew His name (YHWH, denoted as small caps Lᴏʀᴅ in English translations of the Bible).  Christians and Jews believe that sometimes this Supreme God stirred the hearts of those non-Israelites to pray, bless, or do good to the Israelites.  For example:

God moved the heart of Cyrus, king of Persia, to grant exiled Jews to return to Jerusalem.  See Ezra 1:2-3:

“This is what King Cyrus of Persia says: “The Lᴏʀᴅ, the God of heaven, has given me all the kingdoms of the earth. He has appointed me to build him a Temple at Jerusalem, which is in Judah. Any of you who are his people may go to Jerusalem in Judah to rebuild this Temple of the Lᴏʀᴅ, the God of Israel, who lives in Jerusalem. And may your God be with you!&quot;


Babylon King Nebuchadnezzar acknowledged that Israel's God was more powerful than his god after his dream's interpretation by Daniel came true, in which Nebuchadnezzar was humbled and then restored by God, so he sent a message acknowledging Israel's God to all his subjects (at the time when this happened, around 600 BC, Babylon was the most powerful empire in the world).  See Daniel 4:34-36:

“After this time had passed, I, Nebuchadnezzar, looked up to heaven. My sanity returned, and I praised and worshiped the Most High and honored the one who lives forever: 'His rule is everlasting, and his kingdom is eternal.  All the people of the earth are nothing compared to him. He does as he pleases among the angels of heaven and among the people of the earth.
No one can stop him or say to him, ‘What do you mean by doing these things?’  When my sanity returned to me, so did my honor and glory and kingdom. My advisers and nobles sought me out, and I was restored as head of my kingdom, with even greater honor than before.&quot;




If the person you are praying for is a true Christian, this Christian will be under the protection of this supreme God and this Christian can be assured through faith that he/she is counted right now as one of His beloved sons/daughters who after death are eligible for eternal life in heaven if he/she perserves to the end.  Therefore:

A more helpful prayer for your Christian friend will then to wish what a Christian will need in his/her earthly journey.  If you pray for health or peace it will be much better if you understand what health or peace means to a Christian, which is different from what other religions understand them to be.  To Christians, there is a notion of spiritual health which is freedom from temptation to sin, which is much more critical than physical health.  Also the Christian notion of peace is a state of heart where there is no enmity between the individual and this Supreme God.

Even if your notion of peace or health are NOT yet Christian in concept, the goodwill expressed toward your Christian friend will not go unnoticed by this Supreme God and He can potentially reward you if we take this Abrahamic blessing (Gen 12:3a) as a hint:

I will bless those who bless you and curse those who treat you with contempt.




In a Christian understanding, Jesus is the incarnation of the aforementioned God of Israel himself, which means after Jesus's resurrection Christians no longer call him Teacher / Rabbi, but with titles appropriate for the Son of the living God such as Lord (King) and Saviour.  A Christian can also call Jesus a Friend or a Brother, whom Christians should imitate so we can also have His character, especially in His relationship to God the Father and to fellow human beings.  You can therefore pray so that Jesus will help your friend's heart to be more conformed with His.


Conclusion
In summary, here are 2 points to help make your prayer gift to be well received by your Christian friend:

address it properly: either to

God the Father (the Supreme God above all gods, Creator of the universe) or to the
Lord Jesus Christ (Lord over all human beings)


pray for what a Christian needs (by using Christian-specific concepts).  Examples:

Spiritual health: so God helps your friend fight temptation and to be more conformed to Jesus's character
Peace: so your friend confess all sins to God to be reconciled
Increase in love: so your friend improves spiritually by loving God and others more
Persevere in hard times: so your friend would not lose faith and hope
etc.