Yes, because different machines put out different pressures. If the difference in pressure outputs is greater than about 2 psi (e.g., you have an Invacare that puts out 5 psi and a DeVilbiss that puts out 8.5 psi), then the main oxygen line will be pressurized to the higher pressure and the power pressure machine might have trouble getting its oxygen into the line. If you have two machines running and your torch oxygen valve is wide open and one machine is putting out 5 LPM and the other machine is putting out 0 LPM, then this is why.
Most machines has a threaded outlet that will fit the B fitting on a green oxygen hose. One brand, Invacare, does not. It has a nipple fitting outlet that comes straight out from the machine. Even the machines with the threaded outlet, though, can be fitted with what is called a Christmas Tree adaptor. This is a just a fitting that screws onto the threaded outlet and has a barbed nozzle that can slip into a bare-ended hose/tubing. If you have one of those on your machine, you should be able to unscrew it and get it to come right off. Always be careful to use just your hands when dealing with these concentrator fittings. If you use a wrench to tighten or untighten them, you can break the fitting, or even a part up inside the cabinet.
I make connectors for hooking up two or more oxygen concentrators. The simple ones for connecting two are found on the ordering page of my website:
http://www.pyronamix.com/page8.html
My connectors have backflow prevention valves in place that keep one machine from backflowing the other.
As far as altering a concentrator to put out a different psi, if you boost the pressure output above the manufacturer's recommendation, you can overflow the machine and can (1) damage your seive material and/or (2) hurt the compressor and (3) result in poor purity. Doing this will also most likely void any warranty you might have on the machine. If it's just a beater machine you picked up for $50 and don't care if you mess it up, keep in mind that if you damage the seive, you can create seive dust (pulverized seive material) and if this gets into your torch, you can have other problems. I am not sure if adjusting the pressure to lower than the manufacturer's specs (so that the higher psi output machine could better match the lower output psi machine) would cause the same problems or different ones. These machines need certain internal pressures to do what they do.