Is it common to have a pressure shut off for Jet Water Pumps?
It is not a standard feature. The pump often hooks into a manifold that connects to the pressure tank and that has a check-valve, pressure gauge, pressure switch, tank drain valve, main shutoff valve, and over-pressure relief valve. The assembly looks like the following once assembled (note: check-valve not shown in this setup).



You will have to consult the manufacturer's spec sheets to see if it comes with an integral pressure switch. Even if the manufacturer won't respond, often they have spec sheets and manuals available online that will give you this info.

Note: the bottom pump is a no-brand Chinese manufacture pump, you might be able to trace it through Ali-Baba, but you'll have to take the Amazon description's word for what it does as there's not much else available about it online.