Yes, for medication where ongoing private prescribing is appropriate — for example HRT, contraception, weight management treatment, or a stable long-term medicine you are currently paying for privately.
What we will not do is issue repeats indefinitely without review. Every medication has a monitoring interval attached, and a service that keeps issuing without checking is not providing care, it is providing a subscription with a doctor's signature on it.
In practice that means a review consultation at appropriate intervals, along with whatever blood tests or blood pressure checks that medication requires. We will tell you at the outset what the schedule looks like.
For most long-term NHS medication, your NHS practice remains the better and cheaper route, and we will say so.