No.
Your UCAS application requires an academic reference from your school. There is nowhere you can add anything else to it.
And if that surgeon (who should know better) tries to influence a University's decision in any way, any 'reference' will a) be put straight in the bin, and b) reflect badly on you.
Thankfully, these days the old-boys network is long-dead. This sort of 'he's just the right sort' handshake has no place in modern University admissions.