From Longman Dictionary of Contemporary Englishnose into something phrasal verb informalto try to find out private information about someone or something, especially in a way that is annoying → nose→ See Verb table
Examples from the Corpus
nose into • He merely watched the obscure corners of the busy planet and poked his stubby nose into dusty crannies.• Jozia blew her red nose into her kerchief.• She blew her nose into his handkerchief.• I had nosed into the doings of the Bobbsey Creeps because they pissed me off.• He rolled sideways and pressed his nose into the grass.• Flora blew her nose into the pristine handkerchief, scrunched it into a ball and threw it on to the linoleum floor.• The two catheters were taped together and passed through the nose into the stomach.• Or maybe they resented a stranger poking his nose into their affairs? 