Storage in the cars? No. But the infrastructure is lacking. Many people who own a Toyota Mirai (hydrogen) refill it at their Toyota dealership (far less convenient than the electrical grid) and are limited to around 80% fuel capacity (since you need 10,000 PSI to fully fill the tanks).
I get the feeling that they want to go the way Airbus is looking like it's going to go with airplanes. Plug in containers that would be like propane tanks in the US. Not sure how practical, but it does cut down on some problems.
Distribution is also a big issue now: EV chargers have a much bigger ecosystem around them than hydrogen fuel stations.
My understanding is that hydrogen has a much brighter future in commercial vehicles where fueling station logistics can be much more deliberately planned. I know Toyota does commercial vehicle sales, but I don't know what their hydrogen fuel cell commercial fleet development looks like.