Yes, and there are libraries with cards for non-residents, too! That's what I use on Libby. These are typically not free, but some are low-cost. If you don't have a library card already, this is a great way to get one without having to drive somewhere. For example, according to this list, Fairfax VA charges $27 per year for access to a catalogue of "over 50,000 ebooks and 21,000 audiobooks".

https://bookriot.com/out-of-state-library-cards/