Could, and it does happen. Observed about sixteen years after the first direct observation of a neutrino interaction:
https://www.worldscientific.com/doi/abs/10.1142/S02177323930... (PDF directly at https://cds.cern.ch/record/248487/files/ppe-93-065.pdf )
More modernly and generally, neutrino-lepton scatterings are part of the weak interactions in the Standard Model: https://www2.ph.ed.ac.uk/~playfer/PPlect11.pdf
(and of course there is an even weaker gravitational interaction between leptons and neutrinos that we cannot demonstrate directly with current technology)