e-Residency doesn't but you could set up a company in Estonia and I've read that basically all b2b transactions would be untaxed, and simply holding money inside the business would be untaxed (from my interpretation of their website) which would allow you to have a basically tax-free business in the EU which could then forward the cash to some offshore entity in any way you'd like.
Sure, that's possible. A pretty similar scheme is possible in pretty much every other EU country as well. In Estonia you can take your sweet time with transferring the money offshore, in other EU countries you have to do it yearly so it looks like you have no profits on the yearly report.
