AppleCare can be purchased from anyone, doesn't have to be the same place you purchased the computer. That's why some people that register their Macs get phone calls from Apple about 10 months after purchasing it
So, technically Rodster, yes that would work. Except that you live in Florida. Florida has some weird rules about extended warranties. Something like the company that provides the warranty has to be located in the state IIRC.
Your best bet would be to call the Apple Store and ask them if you can buy AppleCare (be sure to mention that you live in Florida) and see what they say. If the answer is yes, thank them and then hang up and order from LA Computer
