Answer to your question: Yes.
I have tested a few 400mm primes, and the outcomes are good. My tests are done with sony a7r and pentax. Pentax bodies has SR, that also helps in 300mm range. Crop sensors vs full frame, but I got the answer you asked.
I have 2 copies of Tokina 400/5.6 (canon, and OM), nikon ais ED-IF 400/5.6. These are FF lenses, and cost less than the pentax. The Nikon might be not so cheap, while the Tokina might be found for less. The pentax is a zoom lens, and covers more in focals, if you can shoot with it's sweet spots.
Tokina 400/5.6 various f-stops and distances:
Last edited by hoanpham; 05-27-2015 at 12:45 AM.