When it comes to mortgage interest and property taxes, only those with a "legal obligation" to pay those things, can claim those things *provided* they actually pay it.
If your son is a named co-signer on the mortgage, then he can claim the mortgage interest if he actually pays it.
If you son is NOT listed on the deed of the property as an owner or co-owner of that property, then he has no legal obligation to pay the property taxes. Even if he pays them, he can't deduct them. Only you can, regardless of who pays them.