I've seen radiation issues on filmstock where it kind of lightens up the image, lowers contrast. Deep sea cold, or near volcanic temperatures could affect the filmstock/roll.
The 70mm film probably has Estar base - I am sure the temperatures allowed are published somewhere. There is also the emulsion which melts around 50C. Higher temps wil permanently damage the image.
As far as the low temperatures, it will most likely survive -200C, which is approx around liquid nitrogen temp. Anything around -200C will become extremely brittle. So you will have to be careful about manipulation.
Maybe, leaning towards probably. A point in your favor is that NASA used Ektachrome film in the space program and some rather famous photographs were made in space where the extremes of temperature and radiation vary widely.
Hasselblad 550C medium format cameras were used more than any other type in the early years of the space program, and they used 70mm film.
Here is an except from Photography During Apollo:
Each film magazine would typically yield 160 color and 200 black and white pictures on special film. Kodak was asked by NASA to develop thin new films with special emulsions. On Apollo 8, three magazines were loaded with 70 mm wide, perforated Kodak Panatomic-X fine-grained, 80 ASA, b/w film, two with Kodak Ektachrome SO-168, one with Kodak Ektachrome SO-121, and one with super light-sensitive Kodak 2485, 16,000 ASA film. There were 1100 color, black and white, and filtered photographs returned from the Apollo 8 mission.
I just did a test with film in the oven at moon temps. The oven caused it to draw up into itself. It could be seen at some angles a bit warped as well. If left in longer it would be obvious more damage would be caused. I Shot it on video and posted to YouTube. I tested 35mm film that I had around the house and thought I'd do the test and see how it does and then maybe buy some 70mm or someone watching the video might have some around the house to try.
I also read where NASA said the film was specially made, then later I saw a video where someone asked Kodak if they had it made special and they said they did not make a special film. I also read where the cameras were equipped for high heat at a NASA history site, where more information can be found.