if you are running 35's or larger and have not swapped gears, then maybe. yes it might effect your shift points but it will not damage a tranny. DO NOT LET THE DEALER WIN! Bigger tires is a load of BS! I have 285/75/16's on mine.
It is back in the shop again for the same damn problem. rebuilt at 27,000 because of a failed front pump and TCC lock up fail.