Depends on what you mean by hacked. If you’ve got a remote connection that allows key input, or automation, or remote terminal, then certainly.

@Zaku Has it!
If you have let someone “log on” to fix or repair a software issue, that person/connection can do anything on your computer. In some cases they can “wake-up” your computer on the LAN or network.

It can. I ctrl-alt-del remotely every day.

LOL. This is trivial with something like ctypes.

What is the end goal that you need to achieve by CTRL+ALT+DEL ?

Just wondering if someone hacked into my router, could they log into my computer and take over.

If they get into your router they can set it up to let themselves right in. They don’t need cnt-alt-del either.
If you configure your router remotely don’t use telnet!
Never leave a connected router in its’ default status.

My brother in law gave me a router a long time ago. He told me I didn’t need to set up any security/password. No long after, I started getting virus entry attempts. Turned out a neighbor had been mooching my bandwidth, but worse, he went in and locked me out of my own router. How rude! I set up a simple password and WEP, but he hacked that too. Now I use WPA2 with a long password. No problems since.

Wep should not even be a feature on routers anymore. Did you make the AP name “you kids, get off my LAN”?