No. Not unless you can find an older model iPad for sale with iOS 13 installed. And if you do, you will be stuck with that version of iOS 13; and the early versions of iOS 13 were far less stable than iOS 14’s early versions.
That’s the bad news.
The good news
Each update for an iOS version increases that version’s stability. iPadOS is now up to 14.2, and as normal the second major update has resolved almost all the early issues. It will only become mores stable as the year goes by.
As with all update cycles, if you want to insure stability it’s best two wait a couple of major revisions, and check the “current” reviews for that version. This what most professionals do with their primary (money making) computers, no matter what the OS.
Also, iOS versions tend to be a bit more stable on the iPads’ they come preinstalled on. This for two reasons. First, that’s the hardware that was tested the most with new OS version. Second, an initial install is always a clean install, meaning there are no bugs introduced by the update itself. Something that rarely, but sometimes does, happen. This can only be cured by doing a clean install (or waiting for the next update in hopes it corrects/overwrites the error).