Yes, certainly. The regular set of documents of Your Belize IBC (if properly certified by notary and legalised by Apostille) corresponds to the formal documentary requirements of most banks, as far as the internal structure and configuration of the IBC is concerned. However, as described above, in order to open a bank account for an offshore company, the background and the proposed business details of the actual owners and controllers of the company is the most important detail.
Many beneficial owners would operate their offshore companies in an independent fashion and would open their offshore bank accounts independently, with bankers whom they may already know. This is perfectly acceptable.