Can Christians still eat meat with blood in it? These are the verses in question that prohibits eating meat with blood in it:


  "But you must not eat meat that has its lifeblood still in it. 5 And
  for your lifeblood I will surely demand an accounting. I will demand
  an accounting from every animal."- Genesis 9:4-5.
  
  "‘Suppose someone eats meat that still has blood in it. It does not
  matter whether they are an Israelite or an outsider. I will turn
  against them if they eat it. I will separate them from their people."-
  Leviticus 17:10.


Is this just an OT ceremonial law or something else?
As this question explains, some denominations do still follow Old Testament food laws, so would likely answer "no, they can't".

However, many Christians also take Jesus' words in Mark 7 to explain that Christians do not have to follow Old Testament food laws, so would likely answer "yes, they can".


  For it doesn't go into their heart but into their stomach, and then out of the body." (In saying this, Jesus declared all foods clean.) Mark 7:19 (NIV®)