To my knowledge, no. There was a period of time where you could "upgrade" to DDP from the free trial, although it depends on when you car was made. When was it made?
I don't think that you can upgrade DreamDrive to DreamDrive PREMIUM, though. I agree that this should be made an option as it is purely software. Perhaps you could ask people from Lucid if this is possible... @mcr16 ?
It depends on what Hardware came with your car. Although you might only be using dream drive presently, your car might have the equipment for dream Drive premium and cream Drive Pro just not active.