There are indeed people who closely study the process of forming a black hole from collapsing matter, hoping to understand things like the singularity and event

There are indeed people who closely study the process of forming a black hole from collapsing matter, hoping to understand things like the singularity and event horizon. I have not ever heard of any good results that show that a black hole for some reason cannot be formed, but I'm sure people are investigating. This would be very surprising if found, and there doesn't seem to be any evidence against black holes actually forming. So the mainstream, and as far as we can tell, correct, view is that black holes can, do, and have formed.