Carry out no.
But a DISH type antnna with DUAL ouput (the most common kind) yes.
Dish type antennas come in many flavors..
Solo, these are either single or dual.. The only SINGLE I know of is the Winegard Table top dish.. Most others are DUALS (Means one LNB with 2 coax connections)
Dual, Triple, Quad... and up to octal (8) single or multi-band
These will all have 2 (or more) coax outs. and can do what you wish
Multiple Multi-channel DVR's may require a special SWITCH depending on the hardware.
DirecHDTV SWM dishes....... (Single Wire Multiplex) I am not sure of.. I have no experience with that dish.. But strongly suspect that they will work, though one additional device may be needed (Splitter type).