No. It would increase the back-pressure, which is not the same thing at all.
I can see why you might think that. After all, if you squirt water from an open hose pipe it goes a certain distance. If you squirt the water from a jet fixed to the end of the hose pipe, it goes further. So the pressure must be higher, right? No, it's the back pressure which is higher.
(Bit of physics here: pressure is a scalar quantity which means that it acts equally in every direction. So although it is back pressure, it also acts forwards to propel the water out of the jet. Don't ask too much about it. It gets into vector algebra and some difficult mathematical ideas.)
Briefly, the back pressure increases and this makes the flow rate smaller.
No, you're not being a small bore at all. It's a very sensible question with a short and simple answer. Unfortunately, the physics behind the answer isn't a simple as you might hope.
Theres only one way to increase the pressure, and that's to use some sort of pump.