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Using logmein.com you certainly can. I'm sure there are other tools, but i'm mostly familiar with this one.
 
Is it possible to remote into a brand new iMac from a Windows 7 machine?

You have a few options that we use at the office

1. Logmein (i think the interface is clunky and annoying)
2. Teamviewer (better but I hate installing additional software)
3. VNC - turn on screen sharing on your mac and download UltraVNC on your PC - should be able to connect to it via IP. Just make sure to give your iMac a password under the screen sharing options
 
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