Helping people with computers... one answer at a time.
Well, you certainly can, but in most cases it only makes things more complicated than they need to be.
To actually do it, I'd put a hub in front of the two routers. So your cable modem would go into the hub, each router would be connected to the hub, and each would configured to respond to one of your two static IPs. You could then connect your computers to one router or the other, as you saw fit.
I'm just not sure why, in most cases, you'd want to do so.
The drawback here is that your machines on one router will not be able to share folders or printers with machines on the other router. Each router represents its own private sub-network on the internet.
Multiple internet IP addresses are really only useful if you have multiple computers that you want to access from the internet. For example you might want to set up two web servers, in which case each would need its own IP address. For most common home and small business situations, that kind of setup is actually pretty rare.
My ISP has allocated me 5 IP addresses here at home, but I use only one. All the computers in my house (8, I think) are connected behind a single router. I really don't have any need for the other 4 IP addresses at this time.
I suspect that, unless you're doing something special, you really only need one of your two IP addresses. It'll certainly be the simplest approach.