Will there be a second chance for salvation after the Rapture? Does the Bible say anything about there being a second chance for salvation after the time of rapture? I would assume that God is doing this rapture so that people would recognize Him and repent. But I don't have a Biblical basis for my assumptions.
For starters, the Bible doesn't contain the word "rapture" nor does it clearly state that such an event will happen. Different people have read between the lines to infer a rapture at different points in the book of Revelation, but it is not clearly stated anywhere.

Since the Bible doesn't clearly state that there will be a Rapture and those who believe that it will happen disagree significantly on when it will happen, the only clear answer that can be given to your question is:

"No, the Bible does not make a clear statement about there being a second chance for salvation after the time of rapture."