No, the card is date specific, and will have your dolphin swim time & such that isn't assigned til you check in that morning.
You just show the other parks your DC e-mail confirmation until your DC day. And show the same e-mail to the parking attendants, if you have the Busch Gardens upgrade (if you don't and you are driving, you should upgrade one person. The Busch Gardens upgrade including free parking is cheaper than parking 2x at the other parks).