I do not know for sure but I doubt it.

Firstly, it would be very difficult to say with any certainty that what may be in that church is actually the crown of thorns worn by Jesus. It would not have been a thing venerated and kept by the early church. This is the same problem with all relics.

But more importantly, God wants us to worship Him. Not some piece wood or cloth that Jesus may have touched. Such relics have no significance in God’s eyes and are in fact dangerous because they can be used to lead people away from God. This was why, during the reformation, that Martin Luther spoke out against such relics.