So basically...no...it isn't possible with home routers (at least none I've seen?), but is entirely possible with different hardware, like hardware firewalls (like dngrsone described)
If what you want it to have two home routers in your house, one basically allowing a DMZ environment to all of its ports, and one that is more secure, then as far as I'm aware you can't do this.
If you have a spare PC around and an extra NIC card then do some research, set it up and post any problems you have to the forum!