”Have you got any brothers or sisters?” would be more common in British English.
”Do you have any brothers or sisters?” is much more likely in American English.
AussieInBgNovember 2021More details here:
There are many American and British English speakers who, out of ignorance of chauvinism, strongly insist that only one of ”have got” or ”have” is possibly correct. As an Australian, I find it hilarious at times