Like the others said, no. To explain in a bit more detail:

Ubuntu Touch uses something what’s known as “Halium”, which internally uses “libhybris”. This puts Android’s proprietary userland drivers in a container to allow them to run as is and provide hardware support.

postmarketOS however doesn’t use any existing drivers, proprietary or not, from Android. Instead we rely on upstreamed and FOSS drivers in the kernel, Mesa, etc. This is more maintainable in the long run but way more work in the short run. So no, Ubuntu Touch supporting something doesn’t help us.