Being as Campag is mainly 11 speed, and Shimano 10 speed, the simple answer is no.
If you are looking at the lower end 10 speed Campag to mix with Shimano, there is a device available from a company in the US called Jteck, similar to the Avid rollamajig, which will let you run Campag RD’s with Shimano cassettes and vice versa. don’t know if you can get them here or not.
Have you gone to a bike shop, and had a feel of the STI’s vs Ergo shifters, as there is a lot of difference in the look / feel of these.
Also, you have missed brakes off, if you go Shimano STI’s, you are locked into the current Shimano brakes, if you go Campag Ergo, get the Skeletons, they are nicer than the normal DP ones
Not sure why you would want to do this tho, mixing the two systems is just wrong.