I had unprotected sex the night before my IUD was removed. Could I get pregnant?

Very unlikely. The effectiveness of the iud was still functional while it was in the uterus. There is always that very rare chance.
Possible. But. You can get pregnant as in your situation. But chance likely lowered by the iud, especially it is a hormone-based iud. Despite its removal, the hormone released from it likely still working for days after its removal. Also, you may not have ovulated either, thus not likely. But not much is 100% in medicine. So u can check for pregnancy in 2-3 wks to be sure. If in doubt, consult doc. Good luck..