Not practical. The propellant requirements for such a craft would be prohibitive (many tens of thousands of pounds of prop), due to the requirement for this rescue vehicle to perform huge orbit plane changes. This mission was flying at 39 degrees inclination. An 30 degree plane change requires about 4100 m/sec of propellant -- which, for a re-entry- and rendezvous-capable satellite (about 50,000 kg) translates into about 40,000 kg of propellant, just for plane changes. All told, you'd be talking about a Shuttle-sized vehicle, or larger.