You can, in multiple ways: there's the standard single-fare train tickets that you can get from vending machines, but they carry a 1 euro surcharge over the normal fare (the paper cards still are RFID-enabled so people can open the boarding gates with them).

There's also the "anonymous" transport card that you can get for 7,50 and then pre-charge with a set amount. It will act as a pre-paid card rather than a debit card, so you can't board unless there's a sufficient amount stored on the card. But since most people then use a debit card to transfer money to their public transport card, it's not really anonymous anyway.

So most residents here choose the personal variant.