No, Timetrap is set in the post-TMP era, so Kirk would've at least seen ridged Klingons on the Epsilon 9 image feed, if not earlier. (In fact, it has a reference to Kirk needing reading glasses, which suggests it might be an Enterprise-A-era story, though the Pocket timeline puts in in 2276.)
McCoy gave Kirk the reading glasses in Star Trek II: The Wrath of Khan
as a birthday present. TWOK is clearly before the E-A shows up (Kirk even had the glasses in 1986 San Francisco, minus the lenses, before he got command of the A).