The temperature of the street /external weather will affect the your road bike tire PSI. Obviously the two are linked. (i.e. if it is a 100 degrees f outside, chance are the street is not going to be freezing at 32 degree f)
Running your road bike at high speeds will cause your tire PSI to increase, just like it does on your car tires. Extreme cold weather on the pavement will cause a lower increase to your tire PSI as your tires tend to heat up which is caused by the friction of contact with the ground / the speed you are moving.
On a super hot day your tire PSI might increase by 2-5 psi, and on extreme cold days might no increase at all. This of course will affect the overall handling of the bike.