No, it’s not. Filament wound composite pressure vessels have very different failure modes than, say, titanium pressure vessels. A carbon fiber pressure hull is susceptible to stress rupture, which is catastrophic - but as Branson is expressing, you MIGHT get some warning first. It’s unlikely that it would be enough at depth. This is what a composite pressure vessel looks like “naked”:
http://www.adoptech.com/pressure-vessels/main.htm
A Deep Flight Challenger hull was supposed to use similar techniques when it was first made public.
But no, this has nothing to do with bicycles. When your bike frame is pressurized to 15k-20k psi, then we’ll talk