Recording RF signals for later playback...

but would it be possible to capture the signal on a laptop running 2.56Ghz if i could figure out some way to attach a 433Mhz antenna and read the incoming data

Absolutely 100% no a PC lap top can't digitise a 400MHz signal no way.

Yes it has a 2.5GHz clock, but that is only inside the chip. There is no way you can digitise signals at that speed and get them into the processor.