Clearly, it is always possible to do non-cryogenic data collection simply by not using a cryogenic cooling device and mounting crystals so that they do not dehydrate or dry out.
I've been doing quite a lot of room temperature data collection lately because in the home lab we can SAD-phase lysozyme with data collection times of about 30 seconds or so. It would seem that in 30 seconds one would not have a problem with radiation damage from a home source. It would seem. There are many benefits with cryogenic diffraction data collection beyond just the obvious ones. I am in agreement with Enrico Stura. While he may not have exactly said this, I think one should take the time to figure out how to preserve diffraction of their crystals at cryogenic temperatures.
