It all hinges on how you intend to get into the corporate network and from what machine. You need to VPN into the corporate network and then use VNC to remotely control your work desktop. The key is the VPN - if you have that, the VNC part is trivial, barring any policy issues like not being a local admin on the desktop. If you do not already have VPN access into the corporate network then you are going to have to get that - and good policy is that you cannot VPN in from a home desktop. Ideally it is done from a corporate owned laptop that you take home with you.
...and before you ask, yes, it can be done without proper approvals and such, but those methods come with a pink slip and a security escort out the door if discovered. And possible criminal charges if they are really pissed.