I don't know how good Jake Paul's wrestling actually is, but if he focused on a few specific trips or takedowns that had a high percentage chance to land in side control or half guard he could stay safe.
It is pretty damn difficult to submit a guy if they have a dominant position.
I can only think of 2 times when someone pulled off a sub on a guy with "dominant position" which for the sake of argument let's call it - mount, side control, half guard, back mount, side mount
Frank Mir - Mir Lock - Pete Williams
Mir in bottom 1/2 guard
Aleksi Oleinik - Ezikiel Choke
Bottom with opponent in mount
(I forget against who)
There may be others, but it is pretty damn difficult to submit without having a strong position and Nate has got pretty terrible wrestling and gives up a significant amount of size, strength, age and athleticism to Jake Paul.