As others have said, if you can do B&W, you can also do E-6; the main (only, really) extra trick is temperature control, which can be managed with a water bath.
The biggest real problem (as opposed to tricky part) is this: Kodak's "official" E-6 process is a 6-bath process (more, really, if you count the final rinse and a couple of intervening water rinses). Thus, it takes much longer to do than a typical B&W process. Even more than the actual process time increase, there's extra time spent mixing up the seven different chemical baths for the process. I personally find this tedious; it takes me 30-45 minutes just to get ready! That said, there are "3-bath" E-6 kits that are much quicker to set up and use; however, they use chemical "shortcuts" to get it down to "three" baths (again, it's really more when you add in the final rinse and intervening rinses). You might or might not be satisfied with the results of a 3-bath kit. Price-wise, they're more expensive than Kodak's kit, too. IIRC, Kodak's 6-bath kit is $50 for a 5-liter kit, whereas third-party 3-bath kits are about $35-$40 for 1-liter kits.