to try to find out how someone feels (about something). (Informal. This does not involve touching anyone.)
Sally tried to feel Tom out on whether he'd make a contribution.The students felt out their parents to find out what they thought about the proposed party.
Idiom
feel someone outfeel (someone) out
to try to find out someone's opinions or thoughts without being obvious.
Why don't you feel them out to see if they'll invite me too?I need time to feel out the boss before asking for more money.