Yes, if they have probable cause sufficient to attain a warrant. Or they ask the rental company nice enough for a few monutes they may not even need that, as a

Yes, if they have probable cause sufficient to attain a warrant. Or they ask the rental company nice enough for a few monutes they may not even need that, as a prosecutor would argue that you waived 4th Amendment protections by not taking sufficient measures to "ensure your privacy". Third Party Doctrine.