Yes.
Long mode requires (or rather, is an extension of) PAE so it can map 64 bit physical addresses, and PAE always supports the PS bit to short-circuit translation to generate a 2MiB page. (As you note, Intel CPUs don't support this short-circuiting to generate 1GiB pages.)
You are perhaps thinking of PSE, described in https://en.wikipedia.org/wiki/Page_Size_Extension, which as you can see dates back to the Pentium, although some mid-2000s embedded CPUs based on Pentium-era designs also lack PSE support. None of these CPUs support x86-64 extensions.
There's no simple citation of chapter and verse, but the whole of Chapter 4 in Volume 3A of Intel® 64 and IA-32 Architectures Software Developer’s Manual covers paging and all of the various flags in depth. AMD has a similar reference, but can be considered a superset of Intel here (e.g. with 1GiB page support).
A hypothetical perverse CPU could provide long mode but not PSE, but the lack of PSE would only affect the interpretation of the PS bit in 32 bit page tables, which merely means that one can't create a 4MiB page in 32 bit mode, but can create a 2MiB page in long mode.