No.

"There is no significant difference in expansion and contraction characteristics of nitrogen compared to air when moisture is absent. Expansion or contraction of either gas, in relation to temperature change, occurs to a similar extent over the commonly encountered pressure and temperature ranges relevant to the discussion of tire inflation. There is no practical difference as long as the gases are dry in a fixed volume container such as a tire."

The difference is completely due to moisture content, not because it is Nitrogen.

Nitrogen is inert, and that is why it is used in shocks, e.g., does not promote corrosion or degradation/oxidation of bladder or seals.