Can a bad radio cause low battery voltage on 2006 Dodge Durango?

Three months ago, the car would jump while accelerating/decelerating. Eventually the
'Check engine' light came on. Took it in, they said it was bad speed sensors. A month
ago, I had the alternator and battery replaced. Last week, the car started jumping again
and the 'check engine' light came on again. Took it to the same place - they said faulty
speed sensors and replaced them again. The check engine light and jumping problems
started again on Sunday. Took it in this morning, they hooked it up to the scanner and
said a 'low battery voltage' code came up. They are now saying it's the radio, which the
screen went black a few months ago, but the radio still works. Is it possible for the radio
to cause all of this?