No. The registration process shouldn’t be affected if you don’t have a domicile address in the country of registration. It’s mostly not required, and IP offices assess the mark on its merits regardless of where the applicant is based.
What you should take into consideration is the representative on record. In many jurisdictions, foreign applicants are required to appoint a local legal representative to handle correspondence with the IP office. For example, the USPTO requires foreign applicants to appoint a US licensed attorney to file applications. Similarly, in the EU, non-EU/EEA applicants must appoint an authorized representative based in the EU/EEA. Your domicile address is typically still required, but it doesn’t have to be in the country of registration.