Possibly, though I haven't tried... you'd need to start an account over at swtor.com and see how far you got. In theory, you could possibly skip all the steps and download the client which would then download the full game but that's as far as you'd go since you wouldn't be able to log in since you'd have no subscription to the game.
However, I'm pretty sure you'd need to enter in any game codes that came with your game for you to have access to download the client... I honestly have no idea since I was part of beta and entered in my pre-order code and got into early access and all that jazz.
Try it out though if you want *shrugs* let us know how far you get. It's always good to pre-load a game until the day you actually get it so that you can play right away.