They did. AND, OR and NOT were bitwise operations as well as conditional operators. E.g. POKE 254, PEEK(254) AND 127 would turn off bit 7 of memory location 254 without affecting other bits.
I did actually know that Commodore BASIC had it but had forgotten. I don't think I'd ever used GW-BASIC or QBASIC, weren't they on PCs?
Apple IIs weren't really a thing over here although the very first home computer I ever used was an Apple II belonging to a friend of my mother's - Tony van der Kuyl, father of video games magnate Chris van der Kuyl ;-)