I can tell you can't in most cases without appointing a local agent.
Contrary to the previous post I have successfully registered a business doing same as yours in Germany and France.
I am completing monthly VAT returns for both and soon to embark on Italy. My EU tax knowledge and language skills have improved immeasurably.
Poland and Czech may be a little more tricky though.
See recent thread here https://www.accountingweb.co.uk/any-answers/european-vat-registration for the links I provided to get started.
It's not easy and I used a local (to me) language expert (not tax) to help me with the registrations. But it can be done.
There are a number of specialist firms that do VAT registrations, and Returns, etc across the EU.