That's a pretty run-of-the-mill acceleration as far as fighter maneuvers go. Momentary accelerations in excess of 10g are not unheard of and the use of an ejection seat exposes the pilot to 12g or even more.
"[86 ejections from 56 aircraft had an] overall success [(survival)] rate of 97.6%. Of all 85 participants, 12 (14%) were uninjured, 41 (48.2%) were slightly injured, and 30 (35.3%) were severely injured. Typical injuries were those of the spine and lower limbs. The most common severe injury was a vertebral fracture caused by ejection acceleration. This is followed by lower limb injuries received during the parachute landing fall."