No, it's not. Given the same input, this function will return different values. And then you can't build a 'table' that maps the input and the outputs.

From the Wikipedia article for Pure function:

The function always evaluates the same result value given the same
argument value(s). The function result value cannot depend on any
hidden information or state that may change while program execution
proceeds or between different executions of the program, nor can it
depend on any external input from I/O devices

Also, another thing is that a pure function can be replaced with a table which represents the mapping from the input and output, as explained in this thread.

If you want to rewrite this function and change it to a pure function, you should pass the random value as an argument too

function test(random, min, max) {

   return random * (max - min) + min;

}

and then call it this way (example, with 2 and 5 as min and max):

test( Math.random(), 2, 5)