Nope, you actually can't do it, aside from the supposed advantage of a 2x2 card on a system with one antenna, there is one peculiar problem with most of the HP notebooks, the hardware is BIOS locked, so you are limited to choices offered by your BIOS(unless you want to modify/flash it, at your own risk). Second, upgrades in HP notebooks require you to have HP part number on it, a hard burned serial number sort of thing. So you have to double check if that is the case with your notebook too.
Now, as for 5GHz and 2.4GHz dual bands, nah, there is not that much difference,bottleneck always will be the physical I/O of disk/network, not router(in 99% of the cases). And the only advantage you get with dual band routers/host devices, practically is that you can separate the data streams, much like giving two lanes for data on same highway.