Not without something like the SS serum, years of experience, and Pete losing his web advantage.
Hell since the other I don't even thing he'd have much a chance with all those advantages.
But I like the idea and I'd love to see a story where Peter died or something and Johnny tried to help by carrying on the Spiderman mantle. Maybe just in a what if or something. It'd also be an interesting way to get Spiderman back to where he was as a young kid having trouble with girls without killing off or divorcing MJ.
Not saying I really want anything to happen to Pete. Just saying it be an interesting story I'd like to read.