PC's can/could via PAE. Each application could only address 4GB (of which some would need to be set aside for mapping in other stuff than application data). Don't know if 32bit ARMs support hacks like that, though.
It looks like the latest 32-bit ARM chips have this capability [1]:
40-bit Large Physical Address Extensions (LPAE) addressing up to 1 TB of RAM. As per the x86 Physical Address Extension, still only 32-bit address space is available per process.
