Can nbfc give loan to nri ?

Why not ? 

The significance of non-banking financial companies in India lies in the massive capabilities of NBFCs - short of acceptance of call deposits and remittance function, NBFCs can virtually do everything that a bank can. Compared to this disability, the ease of entry and lightness of regulation applicable to NBFCs makes it a tremendous focus of interest, particularly for foreign investors wanting to enter India's financial sector. Hence there should not be any problem  for NRI in availing auto loan