Yes, It's 100% Possible!
Check it out on the website:
Text from the website...
... Developed by Jay Freeman, the creator of the Cydia and Cycorder apps, Veency is a free app that allows iPhone owners to remotely control their iPhone from the comfort of your PC or Mac desktop via a VNC client. Some of the neat things you can do with Veency are:
Launch applications on your iPhone
*Reply to emails, text messages, and more
*Rearrange icons
*Lock/Unlock your iPhone
*Browse through Photos and Contacts
Unsurprisingly, you cannot do two finger gestures with this app. All other actions can be done with the click of your mouse. The only area in which Veency fails tragically at is when opening any video recording application on the iPhone. We could not view any videos or video recordings on-screen and opening any video application resulted in significantly lower performance from Veency.
Charge Your iPhone From Anywhere
Now iPhone users can charge their iPhone in one room and still answer messages or play with their apps without needing their iPhone to be around. Veency allows you to see any incoming calls, but you obviously shouldn't try to answer them from your computer. Be sure to restart your iPhone after installing Veency and connect to the server using a Wi-Fi connection. We Use UltraVNC or TightVNC to connect your Windows desktop.