No - in England and Wales only the Designated Premises Supervisor must have a Personal Licence and therefore a qualification. We would however recommend that you have more than one Personal Licence holder at each premises so as to provide cover for any unforeseen emergencies.
In Scotland the situation is more complex, for the Designated Premises Manager the position is the same as England but all staff must receive 2 hours training before starting work at a premises. This can be either the BII qualification, Scottish Certificate for Licensed Premises staff or it can be provided by the Personal Licence holder. For details as to the areas required to be covered please contact one of our licensing solicitors.