Is it possible to re-enable Face ID after tripping tamper detection?

You would need to take the phone back to Apple and have it serviced by them. They’ll probably want to replace your screen and camera. The problem you have is Apple’s current generation of tools (since at least 2015) are cloud based, so you need to be an AASP or be at the Genius bar working as a tech for access to even be able to “re-marry” the camera to the CPU.

If they try and pin you on something that isn’t your fault, stand your ground and make them prove it. Since you technically did unauthorized repair work, you can’t hide from the bill by making them shift the blame, since it isn’t hard to find out. Do not talk about the display replacement.

I replaced back glass and had phone off / powered down prior to opening and disconnecting everything completely disconnected and once put back together my Face id worked fine, put forgot to hook up my charging connector, i got lazy and kept my phone actually on and screen display open while front glass was tipped open to access, this was my mistake i think as i then disconnected screen and even the infrared sensor and camera connector setting off the tamper system while phone was powered on i believe. that is then when my face id, which still picks up my face but but will not recognize movement or me turning in circular motion as it directs. factory resets and all other attempted to get working have not worked. Ive changed many screens prior with face recognition having no problems switching out when having phone completely powered down. my mistake and haven’t found a solution with resetting tamper system