Yes, pitot static instruments can be "sticky", and I can see the concern in a glider. That said, in a power plane EFATO, there'll be enough vibration leftover from whatever caused the power failure to keep the instruments correct long enough to allow you to set up your best forced approach. If you need to tap the panel, certainly go ahead! Don't tap the glass. As said, you can break it. I was a formal test flight observer years ago, seated in the main cabin during start up. I heard from the cockpit, the right seat guy asking the left seat guy if "that's on the MEL". He'd tapped an instrument glass after startup, and broken it, and yes, that rendered the airplane unairworthy.
In the mean time, on the main topic, this pilot chose a needlessly slow climb away after liftoff, resulting in no energy reserve in the plane. You can see lots of up elevator, and what is probably a full stall back onto the the ground. Let alone the damage to a rare airplane for no good reason, that hard hit probably hurt! Having the seat break your back is very unpleasant!