I can't imagine that that would be legal! Please check with your co-op's attorney before giving it further consideration. (not the management company). It's good you asked.
I know of someone who was subjected to home visits before being allowed to buy a coop on the Lower East Side. This happened some time ago, and it may have been some kind of tax-sheltered or...
moreI don't think it is lwise to do that or legal but check with your buildings lawyer.