[European Union] Can I register in a country B once my ID expires in country A?

I registered my drone about 5 years ago and the ID is about to be expired.

I am not a member of the EU but I know that this drone ID is valid in all EASA countries.

I would like to register it in a different EU country since I found a much cheaper country to register it at (half the price for the same 5 years period).

Question is, can I register in another country once my current ID expires?