Some soreness after removing your binder is normal, especially the first few times you bind - you're restricting blood flow and deforming the tissue for an extended period. Next-day soreness could be normal. Pain at a level that requires ibuprofen...well, for me that would be somewhat alarming, but your level of pain tolerance might be different.
It never hurts to talk to your doctor, but s/he'll likely just tell you that binding is bad for you. If you don't have bruising, swelling, discoloration, or other evidence of actual injury, then there's likely nothing physically wrong, except maybe some breast tissue inflammation that the ibuprofen will take care of.