Possibly; perhaps.
Are you by any chance looking for a new staff member?
Synonyms: perchance, by chance
Used other than figuratively or idiomatically: see by, any, chance.
Source: en.wiktionary.orgHave you, by any chance, benefitted from dubious import duty waivers at the expense of the collective health of the national economy, and also intend to do the same any time soon? Source: Internet
If by any chance you ever have leftover watermelon, de-seed and stick in the blender until smooth -then freeze the juice in an ice cube tray for a tasty addition to a fruit drink. Source: Internet
If by any chance you have any book tour in Canada, Montreal would be a great opportunity in summer to live, enjoy and feed your tummies and eyes. Source: Internet
Southerners surprise whenever they, by any chance, meet a Northerner who speaks good English. Source: Internet
Do you by any chance have an exact link of this outfit? Source: Internet
Have you read William Zinsser by any chance? Source: Internet