Have you got any money meaning?
“Have you got any money” is a common and natural way to ask whether you have some on you.
Was some money or were some money?
It should have said “was,” not “were.” The general rule is that sums of money call for a singular verb. Example: Twenty dollars is too much to pay for that small steak.
Is it correct to say some money?
In its most common uses, money has no plural. We say “some money,” not “a money” or “many moneys/monies.” But when money refers to discrete sums of money obtained from a particular source or allocated to a particular cause, the word can be pluralized as moneys or monies, with monies being the more common spelling.