You can achieve resin contents of around 35% using vacuum, but you have to go max pressures and you can't really do that with any low boiling point resins. Typically, anytime you get underneath the 35% mark, you are starting to starve the glass, except for, of course prepegs.
Every contributor has made valid statements and perhaps the most important point is what will happen under starvation. And that is delamination.
Most of my wetbag work we tested at resin contents of about 35% which was done by using maximum vacuum with 10mm bleeder release films. We tested those laminates versus hand laminated work side by side with some simple impact testing and I was really surprised that the lower resin content performed much better at hammer impact than the hand laminated which was running at about 50% resin. The more resin, the harder the laminate and the easier to break I suppose...although try breaking a glob of epoxy off the shop floor! To this day, I still worry about whether we had enough lock between glass fibers at our percentages. I jumped up and down on some of my panels with 220 pounds in dynamic efforts and the 12mm panels performed very well.
I was very nervous about having delamination problems at my lower rates of 35%, so was please to see the hammer and bounce test results. However, I would be even more nervous if we ran as low as the numbers you are stating. It could probably be done with low viscosity resins and very open release films, or by preheating the resin to drive the viscosity up (I believe prepegs are heated, but that is way outta my ballpark). My point here is that I would get very nervous about being resin starved below the numbers I was getting.
Be careful what you wish for...35% or 40% are already pretty low
edited later~it should be noted; most of the methods will require a full wetout of the glass and then removal of excess; so you don't use 35% resin in a 35% layup; you still use 45-55% resins for wetting out and the rest is removed under pressures and discarded...there is a lot of wastage in reducing resins in the laminates for the typical person; I don't know enough about prepeg manufacturing to comment on the resins wasted in that process