Of course there is a problem!
As Klaus mentioned, you require one of two things: an auxiliary supply higher than your main supply, or a bootstrap circuit. You have neither.
There is a third alternative, use a P channel mosfet. But you would have to ensure that you don't exceed the Vgsmax rating.
Loading effect on the output?? What divider value do you intended to use which will have an impact on the 100 ohm load?
Besides, the divider's current will help you meet the minimum output current required to keep the inductor in CCM mode. It is beneficial.