The chain tension on a fixie is about twice as high at its peak (when climbing the steepest hill possible on a medium gear) as on a very low-geared bike.
Assume 5 mph, which is a reasonable climbing speed for a 1:6 hill, 170mm cranks, a 26" wheel and a power output of 250W*:
776 wheel revolutions per mile = 24 rpm for the fixie and 94 rpm on the granny gear
Each pedal revolution is 1.07 metres, and force = power/speed, so for the fixie the average pedal force is 250/0.43 = 581 N and for the gearie the average pedal force is 250/ 149 N, which is why gears were invented.
However, the chain tension is the pedal force multiplied by the ratio between the crank length and the chainring radius, which for the 48T fixie is 581 x 1.75 = 1016 N and for the 22T gearie is 149 x 3.82 = 569 N.
Is the difference enough to pull a wheel over? Probably not, if the QR cam is lubricated and it's properly fastened. Interestingly, all decent MTBs with granny gears have vertical dropouts, presumably to stop a wheel pulling over, while horizontal dropouts persisted on road bikes for a lot longer.
Feel free to check my arithmetic.
*implies a bike-and-rider weight of about 70kg; maybe it's Pantani