No. They're not really synonyms either.
Frequent and often are synonyms.
"Frequent" and "often" are synonyms, as they both convey the idea of something happening frequently or regularly. They are not antonyms or homophones.
synonyms
Infrequent, rare, occasional.
Antonyms for rare are common, unexceptional, frequent or (cooked) well done.
Antonyms for rare are common, unexceptional, frequent or (cooked) well done.
The opposite rate of occurence would be infrequent, or rare.The opposite of the verb to frequent would be to avoid.The two uses of the word frequent:As an adjective frequent means happening often or regularly, therefore antonyms would include rare, uncommon, occasional, few and far between, sporadic, intermittent, irregular, scarce, few, or fitful.As a verb, to frequent means to go somewhere often. Antonyms for this would be: to avoid, keep away, stay away from, shun, steer clear, let alone, pass, upevade, circumvent, get around, get out of, dodge, duck, sidestep, elude, escape, or eschew.
They are antonyms. Allow is often the opposite of prohibit.
If used thusly, yes: "Do you frequent this establishment often?" "Yes, I often frequent this establishment!"
Frequent is the same as often.
Some words have no perfect antonyms. "Occasional" is on a scale: Always...frequently...often...occasionally...seldom...infrequently...rarely...never. There is really no opposite. For words like this, the logical answer is to add "Not". "Not occasional" is the opposite of occasional.
I would like to frequent this establishment more often.