It is more a question of, can it be repaired properly? Who is going to match the parts being replaced like Pioneer did when your receiver was originally manufactured. It is not likely your Pioneer receiver will sound as good after the repair. Also, even though the SX-1050 is rated at 120 watts, it was designed for high efficiency 8 ohm speakers. Therefore it is not a good match for your 4 ohm Audio Physic Virgos. It will play the Virgos, but it will not sound it's best doing it.
Pioneer SX-1050: worth repairing?
My Pioneer SX-1050 will cost about $350 to repair; one of the channels is shot. Is it worth it? Will it cover my Audio Physic Virgos? Its rated at 120 watts/channel. The Pioneer SX series have superb FM sensitivity; my old SX 750 can pick up college stations from my Boston suburban home; 3 high end tuners couldnt.