Ravenous Bugblatter Beast of Traal
Back in college we did this, were we built ourselves in GURPS for a time-travel game. Didn't care about points, but we would be peer reviewing. Amusingly the only character issue we had was one brilliant guy with low self esteem had totally lowballed himself in every aspect.Yeah, it would be objectionable if there were, say, IQ charts and real-world weight-lifting charts you're supposed to line up with.
But if they did it freeform: like assign the Ability Scores however you wish...as a fantastic version of yourself...that just looks like you and has your persona, then I think it could work.