No, you cannot delete the Cydia icon off of the springboard. Instead of deleting the Cydia icon, you should just hide it. You can hide the Cydia icon and Smartphone icon directly from the Mobile Spy interface. Here’s the page on Retina-X Studios, LLC’s website that explains the process:
The section about hiding the icons is #7 under Accessing & configuring the interface (towards the very bottom of the page).
Posted in: Mobile Spy: iPhone