Yes... I had a car with me, and I was with with three other visitors.
Parking was a nightmare.There is no access to the main entrance of the hotel on Princes Street, and they say parking is a few minutes away. If you are fit and well, and have minimal baggage, it is a 10-minute walk which is OK unless it is raining. If you have a fair amount of baggage and/or you are disabled, use the PREMIER INN, HAYMARKET, EDINBURGH instead. This is just as good as any of the Premier Inns, still centrally located, but you can park outside to unload and check in
Get an answer from Premier Inn Edinburgh City Centre (Princes Street) Hotel staff and past guests.