You can, and there’s lots of choice. After you’ve disembarked and grabbed your bags, simply walk to the rental car center at the Rental Car Center, Terminalstraße Mitte - Munich Airport Center - Level 03. Here you can arrange a booking with reliable companies like Hertz/Dollar/Thrifty, Avis/Budget and Sixt/Flizzr. If you’re after more options, see what’s available with Alamo/Enterprise/National and Europcar/Rent-A-Car/Global.