Buck Boost Converter / Controller: 2.8 - 5V Input, 3.6V Output, 5A Load
It's largely independent.
FET drive needs may be higher with increasing frequency (as you have to charge/discharge the gate capacitance more rapidly in cases where you are pushing the limits of the FET.   

FET gate capacitance is device dependant and is typically in the say 1 nF-10nF range with most nearer the lower end (and some lower again). Generally a driver that will provide 100's of mA is OK. Over 1A is less usual. (Note the series resistor usually used in the gate drive circuit to help prevent ringing - this is often about 10 Ohms suggesting that sub 1A drive is expected. 

If it matters enough a basic gate driver can be made with 2 x bipolar jellybean transistors (1 x NPN, 1 x PNP) and NO other components. (join emitters, join bases, NPN collector high, PNP collector low, bases to drive in, emitters to drive out.  While this potentially has shoot-through issues in some cases, the 2x Vbe center dead band usually helps keep this low enough not to matter.