Yes
I do not know EPIC but the iPad is the ultimate "dumb" client with the Citrix Receiver program or other clients like RDP. I've tested against our corporate network as well as clients network, and there are no issues with any application. As you know Citrix merely renders the graphical image of a virtual server session hosted by a Windows Terminal Server with the Citrix overlay.
I've tested only across the public Internet through 3G access where latency is high going through a Citrix Access Gateway (Netscaler) appliance. Latency was noticeable -- click a button and wait a pregnant moment. Used internally, this would be a non issue unless the reported WiFi issue is something real and pervasive.
The main issue you should be concerned about is the functionality as a tablet. Is the app still usable when the QWERTY keyboard comes up? That was my issue with the iPhone -- it worked for Citrix but you had to be out of your mind to want to use it regularly b/c the entire screen was lost to the keyboard. Also massive amounts of scrolling was required to see the full desktop or application. Obviously scrolling is less of an issue now with the iPad screen resolution.
Like all things in IT, thoroughly test before you bet the farm.