Possibly

наречие 1) возможно; может быть Например: We could possibly get some money, if we asked my parents. — Мы бы могли наверное раздобыть денег, если бы попросили у моих родителям. 2) любым путём, как только возможно Например: He will do everything he possibly can to aid you. — Он сделает всё, что может, чтобы помочь вам.

Большой англо-русский словарь

Possibly

adverb 1. in a possible manner; by any possibility Example: that's all she could possibly do 2. by merest chance; perhaps Example: possibly he will recover 3. it is possible or imaginable; conceivably Example: a political libel which may possibly damage me — G. B. Shaw

Merriam-Webster's Collegiate Dictionary