Here's another version for you

This one even drive a giant mech.

There's a Spider-Mobile. It was in the Spider-Verse movie in the underground garage with all the extra costumes and stuff. It's been in the comics plenty.

He drove Flash's dad's car in Homecoming.

Living in New York and driving a car are practically mutually exclusive experiences. I could see Americans who live outside of walkable cities pulling a Westworld.meme when they see such a thing.

Pete's lost his ability to sling webs a few times and had to take the bus or a cab in a few forms of media I have seen, like the OG live action show and the animated series.

I reccomend checking out the Spiderverse movie trilogy, if you haven't. Idk about a car but there was definitely a motorcycle in Spider-Man: Across the Spider-Verse. Might have been a car. Did Ben Reilly drive a car?

If this is in the latest movie, he's old enough to drive by then because it's actually three years after high school, right?

No spoilers please