You have to ask them. I'd guess that most NBs take new products for certification when they can be convinced that the technical documentation can be assessed positively until May 2021. So, if you submit the n+1 product to your NB, or can provide the certificates from your previous NB, you should be able to find someone. If you're completely new (regarding European regulations), you might face more difficulties.
If you're asking because you can't provide the files by October, then submit to MDR and forget about MDD.