Back in the day, would get streaks like that if you had an old, reusable 35mm cartridge that had dirt or dust on the film slit. So as your camera rolled it back into the cartridge, the dust would scrape along the emulsion and your whole roll was ruined.
Also seen this if someone pulls the film out of the cartridge, rather than popping end of cartridge off (this is another reason to roll your leader into roll).
Finally, if processed on a machine, it could be something similar but on the developing side, where these machines print on massive rolls and cut the images at the last stage...so something dragging along the paper could produce a similar defect across many images.
Take a look at your negatives and see if they are damaged, if not, take a deep breath and get them developed elsewhere.