I'm trying to find out if there is a way to compile the iOS app in Visual Studio if I don't have Apple Developer License. A compiled app will be sent for signing by the organization's management and returned back for test on actual device.
What you are referring to is an Ad-Hoc build. To answer your question - no, it is not possible to do so without a distribution certificate & Ad-Hoc provisioning profile. You can read more about the configuration in Manual provisioning for Xamarin.iOS & Device provisioning for Xamarin.iOS