its possible to login to any router from the internet. Actually, anybody on the internet is able to access your router, if you have left your default password the attacker is able to login to your router very easily.
But the big question is: IS IT POSSIBLE FOR THE ATTACKER TO ACCES YOUR INTERNAL LAN?
Not my current home-router, a cheap Netgear. Only LAN-login on that one, unless you turn WAN-login (remote management they call it) on.
Anyway, if anyone manages to log in to your router, of course they can do whatever they like in it, like disable all firewall rules and put your LAN into some DMZ just opening all ports up.
But then they'll still need to hack your pc's, so if you have fully updated windows machines with personal firewalls and antivirus and stuff, I dont know how easy it'll be exploiting them....