No, SAT feeds CANNOT be split and work. Your only option is to purchase a multiswitch. The two feeds from the dish will go into the multiswitch, and the receivers will be fed from the outputs.
Actually, that's not your ONLY option, you could upgrade your dish to either the 3LNB or the 5LNB. Both have 4 outputs. The alignment on the 3 is tricky, the 5 is even more fun. Unless you have it done by a pro, then it's not your problem.
But the easiest and quickest solution is the multiswitch. It just isn't a long-term solution if you want more services later down the road.