This is not impossible. Gravity accelerates this way.
This is just free fall condition, and, yes, by itself should be ok.
The gravity field should be close to uniform, like when falling into big black hole from large distance. The gravity field gets stronger when approaching a black hole, and when close enough, the difference of the gravity forces between ...
To just answer your question, Einstein says “yes”. All uniformly accelerating frames of reference are the same.
A sort of related topic used in SF plots is flotation tanks used to protect crew from acceleration and tidal forces during extreme maneuvers. Orbital insertion around a binary neutron star sort of a thing.
This flotation strategy is used in the ...
(if you replace that pesky "infinite" with "arbitrarily large", physics really really hates infinite forces)
Who said you (and everything around you), is not currently being accelerated at a million g' in some direction? It is impossible to prove this false.
As a lesser example: When orbiting the Earth in a 400km LEO, you are ...