If the tires are the same and the motor, you is the same , NO .. faster just means you put more work into the pedals.

then the effort is mostly pushing air molecules out of the way..

If you want to go faster for the same effort the requirement is smoothing airflow past your body and bicycle.

You do that thru Streamlining , fairings , maybe a Velomobile. [fully faired recumbent HPV]

You can get a lighter bike , and use higher pressure tires , and gain more efficiency ,
and train to get tucked in a more aerodynamic body position , just like the Pro racers,
and train in general to get stronger physically,
but speed is a result of the effort the rider puts into the riding.