Recommended power Mosfets 3.3V to use with Arduino

I just have interesting question about power mosfet.

Let's say current goes from source(+) to drain(-) in n-channel enhancement mosfet.

With VGS=0V there is a full current flow - but I want to stop it.

So if I apply a negative VGS (G-,S+) - is it gonna stop the current flow between S-D ??

Is it safe or it will damage the gate? Small threshold GS

Normally VGS controls flow from D to S which is a body diode opposite to the flow