The MOSFET is drawn correctly, but this circuit won't work for a number of reasons.
The first is that you need some kind of floating or charge-pumped supply for driving an n-channel MOSFET in a buck converter, as the gate needs to be brought 10V higher than the source to turn it on, but the source will be at the same potential as the drain at that point... (there are alternative approaches which I am omitting in the interest of brevity and simplicity).
Next is that the current sense signal needs to be obtained with a differential amplifier or some other high-side sensing scheme because the Isense input on the PWM controller IC expects to see ~1V with respect to ground.
Using a trace for the current sense resistor is a time-honored hack for doing things very cheaply while also getting a degree of temperature-dependent overload protection for free - the resistance of copper goes up 0.4%/C. But, as I said already, you need more circuitry to do this in a buck converter in the first place.