If I understand correctly, static pressure is not something a fan "puts out", it's what it can handle. Static pressure increases as the air path is more obstructed, and air is overall harder to push. Ex: a fan just on in middle of nowhere has very little static pressure to worry about. A fan such as the blower in a furnace has tons of static pressure as it has to push air through all the vents. You can replace the blower in a furnace with a basic fan that has same CFM rating but if it's not strong it wont be able to deal with the static pressure so it wont actually be putting out the rated CFM. So things like blade design, motor etc affect how much static pressure the fan can handle.
In the case of computer fans if you have lot of intakes and not enough exhaust holes then there is more static pressure, thus less air flow. More powerful fans might be able to overcome this and force air more through all the little gaps and such.
At least that's my understanding of it.