Yes - some banks seem to have a "default" schedule, that appears to be triggered by the level of activity on the account e.g. current accounts monthly, interest bearing accounts quarterly or whenever interest is paid, long-term investment accounts annually, mortgage account annually with certificate of interest paid, etc.
I am not an UB customer, but my bank sends me statements as often as I want; monthly, annually, quarterly as I deem appropriate for the type of account
More frequent statements on certain types of accounts, may incur charges, AFAIK.