It is possible and necessary.
There was a theory that the immune system copes better with the infection if the temperature is left elevated. But this is almost always associated with a mild infection like the common cold. Something like the fact that snot with a temperature will be 9 days, and without a temperature - already all 11. Would you take a few days of chills for two days without snot?
Old people and the vaccine
The story of the old is even more instructive. There was a 1994 study where people were vaccinated against the flu and someone had or did not have their fever after being vaccinated. It turned out that those who were reduced received better immunity against influenza. This was especially noticeable in people over 75 years old.
Prostaglandins suppress immunity
We have already discussed mechanism of action of antipyretic. They disrupt the synthesis of prostaglandins.
The prostaglandins themselves can suppress the immune system. That is, antipyretics will, on the contrary, support immunity. It is useful to lower the temperature from these positions.
Brain
Antipyretics reduce heat damage to the head. It is not only in the movies that they show how a feverish patient in delirium is talking some kind of nonsense. Any increase in body temperature is bad for the head. Memory decreases, anxiety appears.
Stroke
Roughly the same story occurs with a stroke. Increased body temperature increases brain damage when cerebral circulation is impaired.
And about covid has already been said that it damages blood vessels and causes thrombosis. With covid patients, strokes easily happen. Against this background, it is better to have a cool head. It will be safer.
Blood poisoning
When sepsis our organs and tissues do not receive enough oxygen and suffer greatly. If they are heated with a high body temperature, then the need for oxygen will only increase. So, antipyretic drugs are useful for blood poisoning.
So what? How will you reduce?