Can You Link Wordpress.com To A Wordpress.org Site?

I am not sure about this and will be doing some experimenting to find out. What I'm talking about doing to create a Wordpress.com page and link it to my Wordpress.org site and make it look like it's part of that site. It would simplify some things that I will explain later if it works. I don't want to get on here and act like I know it will work and act like it's some kind of big tip and will make you rich beyond your wildest dreams because that would make me a bigger idiot than I already am! Ha! Ha! Please feel free to let me know if what I'm attempting to do works or if you know of another way to make this work, I will greatly appreciate your input!