i'm just a regular joe who has taken up ebiking about two years ago.
I'm guessing you'll need a lot of torque to do this, this translates in ebike terms to a lot of amperage and possible lots of volts.
most ebikes that I know are not equipped with the aforementioned. they have juste enough amps and volt to commute from a to b with the least weight possible to the battery.
in youtube there's this crazy video of an electric motorcycle that went crazy when the ridre forgot to hold the brakes .. the bike just went flying. so i would say YES it is possible for a two wheel electric vehicle to burn tire, you just need the right configuration
other more experienced memebers can probably crunch the numbers and tell you what that translates into