Hello from JustAnswer.
Yes, it is possible to do this. The NHS has said that private care needs to be separate from the NHS care, even if provided by the same doctor/consultant. But it is certainly possible that you can get your initial assessment by the consultant and subsequent care for the condition.
A position on a waiting list also should not be affected by someone being seen privately.
Once the diagnosis is made and it is a condition that can be managed by medicines, asis usually the case for conditions that cause tremors, the private consultant can make a recommendation to his GP, who can then prescribe the medicine to be covered by NHS. If it is a condition that may need a procedure for treatment, then he can be arranged for an appointment that will be covered by the NHS, but there may be a waiting list for that appointment.
If I can provide any additional information, please let me know.
You are most welcome.
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