MMU hardware has a hardware-defined minimum mapping granularity (i.e. page size). On x86-64 this is 4KB. On ARMv8/v9 the specification allows runtime configuration for any of 4KB, 16KB, or 64KB as the minimum mapping granularity on a per-process basis, though the actual chip implementation is free to only support a subset of such configurations and still be conformant.

Implementations may also define certain sizes that are more efficient. On modern x86-64, large pages may allow 2MB, 1GB, 512 GB, etc. (multiples of 512) to be more efficient. On modern ARMv8/v9 there is similar large page support (the exact details depend on the minimum mapping granularity) and they may also support aligned, contiguous mappings which making other sizes efficient (the exact details are even more complicated than simple large pages and highly optional).

As such, if you want to get just "1 byte", then you create a userspace allocator that asks for memory that conforms to the limits of the MMU and then it is the job of the userspace allocator to abstract that away for you by chopping it up under its own auspices.

Note that the page file is essentially a datastructure which maps addresses to other addresses, but it also resides in the same physical memory. If you were to try to map every byte of a system to different physical address, it would need significantly more memory than the system had! Further, the datastructure needs to allow efficient lookup of data because the pagefile mapping occurs on every memory access (results are cached in the Translation Lookaside Buffer (TLB) and the speed and accuracy of this cache is often a limiting factor in the speed of the CPU). This all biases towards the mapping wanting to be quite coarse, in fact 4kB is probably already not optimal on today's systems with gigabytes of memory.