Er, yes . .. and, ...,er, no.
Some of the delay with satellite TV is due to the time taken for the signal to be processed. A similar delay occurs with digital radio.
However, part of the delay with satellite TV is simply because of the time taken for a signal to be transmitted over 26,000 miles from the earth to a satellite and then to be re-transmitted back to earth. Since digital radio uses local, land-based transmitters, these delays don't occur.
The time-lag with digital radio is very small but ( if you have an analogue radio next to a DAB set) still noticeable.
Chris