No - The factor that actually determines whether someone will have the same task is the settings related to number of tasks, and in particular, number of long tasks.
1 long task is a fairly common map setting. The Skeld for instance has 7 long tasks: Clear Asteroids, Empty Chute, Empty Garbage, Fuel Engines, Inspect Sample, Start Reactor, Submit Scan. With 8 crewmates, if you only have 1 long task to do, there is a good chance (but not a guarantee) that you will be the only person with that particular long task. Though there is a guarantee that at least one of those tasks will be assigned to two or more crewmates.