The second attempted launch of the Soviet N1 demonstrated that even 1960s launch escape technology could safely carry a crew away from a massive explosion.
The N1 was the launch vehicle designed to take cosmonauts to the Moon. It had more thrust than the American Saturn V or Space Shuttle -- the largest of any rocket in history until the SpaceX Super Heavy later this year. The first stage had 30 engines!
There were 4 launches, and uncrewed and all which ended in failure. During the second launch, on July 3 1969, the LO$_2$ turbopump for engine #8 exploded a quarter-second before liftoff, severing the plumbing to other engines and starting fires. At T+10.5 seconds, the rocket had reached 100 m altitude, but the on-board computer was automatically shutting down all but one of the engines. Without thrust, the N1 fell back onto its launchpad.
The resulting explosion was one the largest non-nuclear explosions in human history. It obliterated the launchpad, created a giant red mushroom cloud seen 35 km away, and shattered windows 40 km away.
However, the launch escape system automatically triggered and pulled the (empty) crew capsule away from the doomed rocket. The crew capsule gently landed by parachute 2.0 km away, undamaged.
So it's completely possible for a crew to survive an exploding rocket, even with 1960s technology.