The p280 fan controller appears to have 3 pin fan headers. So yes, you can connect any fan that has a 3 pin connector, 4 pin connector (4 pin molex would work with adapter) to this fan controller and power the fans this way. But...The low setting may not work on all fans. The full speed setting would shoot 12v to all fans which shouldn't be a problem. The low speed (7v, or 5v probably) would run other fans depending if said fans could operate at low voltages. I don't see 7v being a problem. But sometimes fans won't start up if the voltage is too low.
Your next question, some people don't have or want a fan controller so those fans you linked give the option to control the speeds right on the fan itself.
There is 3 fan switches and 1 empty one, is it possible to get a aftermarket switch that size to fill in that extra space and if so what is that switch called? could you possibly provide a link to the product.