Yes, the account will need to be reported for as many jurisdictions for which it is a reportable account. For example, if the accountholder is a tax resident in both the United Kingdom and France, their information will need to be included in two separate filings – one with a receiving country and account holder tax residence of United Kingdom and one with a receiving country and account holder tax residence of France.
Note that each account record would also need to include the correct TIN associated with the receiving jurisdiction, so that the account can be identified. For example, the TIN expected by France would be the local French TIN used to identify the account holder by the French Component Authority (if applicable).