What does Boost Converter With 2-A Switch mean?
A boost converter converts a lower voltage to a higher voltage.  An ideal boost converter has 100% efficiency, so power out = power in.  

The switch has to handle the input current, so for (example) a 10V 1A output from a 5V input means the output power is 10W, the input power is 10W, so the input current is 2A average (plus half the inductor ripple current peak). 

So to supply an output current of X Amps you need Vout/Vin*X + Iripple/2 as a switch current limit in the IDEAL case.  Since boost converters are not 100% efficient, you need to estimate the efficiency and divide by that in order to get the actual required switch current limit.

So to answer your question, you don't have to supply the 1.3A unless your output power requires it.