Depends how you go and how your timing is.
Driving should take much less time.
IMO, the quickest way on Disney transport would be a 10 minute walk from the Poly to the TTC followed by the maybe 15 minute ride to Epcot. If you had to wait 10 minutes for the next monorail, there you go at 35 minutes.
If, for some reason, you decided to take the resort monorail all the way around from the Poly to the TTC, and you had to wait the maximum to board initially and then again when you switched at the TTC, it could conceivably take a lot longer.
It's likely the trip will take less time than 35 minutes, but for planning purposes I would build in at least 30 minutes for the travel time.