The short answer is, No. Reversible means unitary evolution. Schrödinger 
evolution is unitary only with MWI. So reversible implies MWI. And since we 
don't have access to other MWI worlds, reversiblity is impossible for us "*in 
principle*.

Bruce

It seems interesting to point out that Vaidman (manyworlder) has something to 
say about that here (see page 11 of pdf, point 10)
https://arxiv.org/abs/quant-ph/9609006
It seems that reversibility has different consequences following MWI vs 
following CI.
 

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