It depends on the application of blinds, and where the door is, whether or not you can put blinds over fire doors. You can get integral blinds in a fire door and roller blinds for screens, so it is possible to have blinds over fire doors and maintain their integrity.
In the case of a fire exit door, if it is covered up, then it's not clear that it is the place of exit. It must be as clear as possible in the event of a fire.