Not that I am aware of. Your choices are Uber Taxi Lyft. Or you can walk to 7th Street Metro subway station and take red line to Universal.
From where? If you are in Downtown La there is a red line train to take you to Universal Studios on Lancaster. From the Hilton Hotel there is a Shuttle to take you to the studios and bring u back it works till 10 pm.
Remember the pictures that you put. go for it!!
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