Yes, certainly. Depending on your status in the company (beneficial owner only, or shareholder, or director, or any combination of those), You may approach any bank and apply for the account opening – including banks outside Cyprus. Just bear in mind that Cyprus companies must conduct full and proper accounting and produce audited financial statements annualy – therefore, full account information will need to be provided to the company accountants (that may or may not be us) and the auditors.