Not during the day. Free parking starts at night. There are hotels nearby, but you would have to shuttle in from there. Also, you can come in on shuttles from i drive, like lymmo.
Well, in last January, we went by car, and we parked near the Universal. During the day. We had to pay a ticket.
You could always take the risk and park at a nearby store or hotel and lyft, uber or take the city bus #21, but keep in mind after a long day at the park you might have to walk to your car or wait a while to receive the same transportation.
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