Yes it does.
http://man7.org/linux/man-pages/man2/mmap.2.html
In case of most "popular" NULL mapping
If addr is NULL, then the kernel chooses the address at which to
create the mapping; this is the most portable method of creating a new
mapping. If addr is not NULL, then the kernel takes it as a hint
about where to place the mapping; on Linux, the mapping will be
created at a nearby page boundary. The address of the new mapping is
returned as the result of the call.
Even if you specify MAP_FIXED than
Don't interpret addr as a hint: place the mapping at exactly that
address. addr must be a multiple of the page size. If the memory
region specified by addr and len overlaps pages of any existing
mapping(s), then the overlapped part of the existing mapping(s) will
be discarded. If the specified address cannot be used, mmap() will
fail. Because requiring a fixed address for a mapping is less
portable, the use of this option is discouraged.
Taking the fact the smallest page is 4096B (for x86, but for other platforms it is multiple of 1024B anyway) and as std::max_align_t is most likely to be 16B on 64bit systems it will be alligned.