If your vessel operates above 0.5 bar above atmospheric pressure, the answer is almost certainly yes, and a supplier service visit does not satisfy it by itself.
Where the requirement comes from
The Pressure Systems Safety Regulations 2000 require that a written scheme of examination is drawn up by a competent person, and that examination is carried out in accordance with it. BCGA Code of Practice 36, which covers cryogenic liquid storage at users premises, makes the same point as a commissioning requirement.
What is commonly missed
Sites with a bulk vessel usually have a scheme. The gap is smaller pressurised supply vessels, which get treated as equipment rather than as pressure systems. Check the scope of your existing scheme rather than assuming that having one covers everything on site.
What sits outside
Open neck storage dewars vented to atmosphere generally fall outside the pressure regime because they do not operate above 0.5 bar. They are still vacuum insulated vessels, so vacuum degradation, ice plugs and oxygen depletion all still apply.
If nobody can produce the scheme for a given vessel, treat that as a finding rather than a paperwork detail.