Fan curves are very similar to pump curves. Consider:
A fan that can move 1000 CFM at 2" w.c. (static pressure) through some duct work. Now add an air filter that will increase this resistance, so the fan is now flowing 800 CFM at 2.5" w.c. of static pressure.
Now if you keep adding to this eventually you will reach a point where you are generating a high static pressure at zero (or close to) flow. If you are not moving the fluid into and then away from the mover then you will be increasing the energy in the fluid local to the pump/fan, causing the mover & fluid to increase in temperature and ultimately something to fail.
Most (all?) pumps have a MCSF or minimum continuously stable flow where they can still effectively flow the medium without any undesired effects, I am sure there is something similar for fans though I do not have the experience.
I guess if you were to operate a fan in a vacuum there would be low resistance on the fan but the fan would still be in a dead head situation of not moving any air, but you also wouldn't be accumulating any energy into a fluid.
Freshly graduated please bear with me