Let's step back a little first.
Minor illnesses without fever or systemic symptoms are not a valid reason to postpone vaccination. If an individual is unwell, immunisation should be postponed until they have fully recovered. The principal reason for this is to avoid confusing the differential diagnosis of any acute illness, including Covid-19, by wrongly attributing any signs or symptoms that develop to any adverse effects of the vaccine. This is vitally important.
Let's move on. Officially, there is no evidence of any safety concerns from vaccinating individuals with a past history of Covid-19 infection or with detectable Covid-19 antibodies.
It's considered that vaccinating individuals who may be infected or are asymptomatic or incubating Covid-19 infection is unlikely to have a detrimental effect on the illness. However, vaccination should be deferred in those with confirmed infection to avoid confusing the differential diagnosis. Now it becomes a little complicated here as the regulations state that because clinical deterioration can occur up to two weeks after infection, ideally vaccination should be deferred until clinical recovery to around four weeks after onset of symptoms or four weeks after the first confirmed positive specimen in those that are asymptomatic.
Having prolonged Covid-19 symptoms is not a contraindication for having the vaccine, but if the patient is seriously unwell, under investigation for Covid-19 infection or there is evidence of serious deterioration, deferral of vaccination is authorised to avoid incorrect attribution of any change in the patient's condition to the vaccine.
So in a nutshell, the answer Bazile is no. As others have said, this must have happened many times already during the vaccination programme. The particular vaccine used is immaterial.