This is a very interesting question and I hesitate to express a direct "No way" or "Of course" opinion either way. Certainly there is a long list of criteria to be able to radio the position of an attack which could be source of "no radio" outcomes. And still the radio ability is likely rather robust so it might be very difficult to prevent the "radio success" outcome.
Radio Equipment and
Crew Ability are two distinct requirements for a radio message to be sent. A radioman without a radio won't succeed just the same as a radio without a radioman won't.
Causes for equipment failure:
- General electrical power failure (battery / backup power?)
- Radio destroyed (more than one radio?)
- Antenna destroyed (more than one antenna?)
- Range exceeded (message impossible to send?)
Causes for crew failure:
- Death (Torpedo more likely than shell?)
- Shock / Panic (Morale-based?)
- Imminent sinking (Task prioritization?)
I imagine hitting an ammo or kerosene ship might causes destruction such that any radio operations would be impossible immediately even if it took the hulk of the ship many minutes or hours to sink.