Yes. It is called ‘direct licensing’.
A direct licence is issued by the author or the rightsholder of the works and their recordings, without the involvement of collecting societies.
Artists who are not registered with collecting societies can independently grant direct licences to users for the usage of their repertoire. Since there are no intermediaries or other entities involved in the licence, direct licensing also means fully-licenced. Sometimes, confusingly, this is called ‘royalty-free’, or ‘royalty-paid’, but it’s the same thing.
Playing fully-licenced music in stores relieves business owners of securing other licences or authorisations. Once you are paying a subscription for the licence, you are free to play that music in your business.