ARM's pop is really a generic ldmia with update. You can use the same instruction in a memcpy.
MIPS, PowerPC, and Alpha don't have anything like push and pop, splitting load/stores and SP increment/decrement into separate instructions.
AArch64 has a dedicated stack pointer, but no explicit push pop.
In general the RISC style is to allocate a stack frame and use regular loads and stores off of SP rather than push and pop.