Sort of. The expansion of space causes (and is measured by) redshift. The photon that doesn’t get absorbed “exists” until its wavelength is not measurable (as its wavelength approaches infinity).
The cool thing about this is that it is identical to what happens in a black hole. Spaghettification. This also has the fun consequence of us possibly existing inside of a black hole, and black holes themselves are entire universes. Because of the breakdown of physics beyond the event horizon its not exactly easy to confirm or deny this either.
Edit: redshift not redshirt. Startfleet personal aren’t dying here, it’s photons