It's really not advised to enter without a BRP, but it sounds like you have little choice. Yes, you COULD be let in by matching your biometrics and filling in a form, if the BFO is not feeling particularly argumentative, but they could also decide to give you a difficult time. It works in your favour that you can board a flight to the UK without a visa. My uneducated guess is that it's likely you'll be allowed in without BRP, but I'd expect some degree of lecturing. It's a pain to Border Force officers who are busy as it is.