His arms are so still! He barely moves from the wrist up - how? That should be impossible, but obviously it isn't!
But the bigger question is how did he get the drummer to just play that groove, with no fills or changes, the whole time? I guess he has more clout, in addition to the skill, than I do…
Entwhistle makes it look easy, but bear in mind he's had fifty years of practice and experience. Practice makes you that good; experience keeps you that good. So start practicing, and gain experience.
Played with my fingers until I got roped into a buddy's punk band. Switched to a pick, had the same issues with sweat and the picks turning in my hand. The Dunlop gator grip picks in the heaviest thickness I could find worked great to solve the grip problem without me having to hold on for dear life. Feel like my finger playing abilities have suffered since the switch though. Do what you like and to hell with the rules.