No chance. The I/O is too slow - you'd need a mess of cables. As others pointed out, putting the computer inside the monitor bypasses this and lets the display driver interact directly with the display rather than sending the signal through a port and cable.
Most likely, your 2013 Mac Pro won't be able to do that because a single cable / single bus DisplayPort v1.2 cannot provide the bandwidth for 5k (DP v1.2 provides about 17.3Gbps which is insufficient).
Unless Apple provide a multi-cable solution for the 2013 Mac Pro when the 5k Thunderbolt display comes out, you won't be able to take advantage of 5k displays on it.
My prediction is that we'll see an updated Mac Pro that also uses the Haswell Xeons (2013 Mac Pro uses last gen Ivy Bridge) and also DP v1.3 (which can support 5k displays).
Well, because I need high-ppi displays:) That's the main reason I changed my 2011 iMac to the 2013 Mac Pro. Now it's weird: either a single 5k-screen with the new iMac, or two worse 4k-screens on Mac Pro.