Yes, but at least humanly possible. Likely not with all the gear, but at least as a player you feel more like a running person than like a flying pilot.
Doom offered very nice gentle "bobbing" that added to the illusion of a real person's gait. Of course, only when you played single-player and switched off the "always run" mode. (Regarding this, I wish there were a popular FPS that would explore the notion of stamina, so that running mindlessly would be wasteful, but sprinting at critical moments would be an extra game mechanic. It worked reasonably well in Diablo, released in 1996.)
Doom offered very nice gentle "bobbing" that added to the illusion of a real person's gait. Of course, only when you played single-player and switched off the "always run" mode. (Regarding this, I wish there were a popular FPS that would explore the notion of stamina, so that running mindlessly would be wasteful, but sprinting at critical moments would be an extra game mechanic. It worked reasonably well in Diablo, released in 1996.)