Thanks to the advice on this thread, I found it helpful to repair my neighbors machine so I thought I'd register and post my findings.
The machine is a Bobcat 863 and it would start and run for 10 minutes or so then start to hiccup and lose all power. After some research he purchased a new pickup tube/filter assembly and after some searching and coming up empty-handed, he asked for my help to fix it. It IS possible to replace a broken fuel pickup tube without removing the engine. Simply lift the cab.
Yes, you can remove the cover behind the right-rear wheel BUT you can only get a finger or two on it, and that's if you're stick-boned like myself, and you NEED both hands on it. Through the cover you can see what you're looking for with a flashlight. He had the cab up so I laid down and began feeling around underneath and behind the hydraulic pumps while he wiggled the pickup hose at the primer-bulb.
If you reach behind the pumps with your left hand, you can feel a sensor plugged into the top of the tank. The fuel pickup tube is a few inches toward the front of the machine and to the right (again looking towards the rear of the machine). There are two hoses that go into the tank a few inches apart, and the pickup is the one closest to the sensor. After prying the grommet out of its hole, we found the pickup tube had broken completely off of the elbow, just below the compression hose clamp. The remaining hose was red in color (stained from fuel dye) and was very brittle. Whether it was completely broke prior to removal or it was just cracked and it broke due to me removing it I don't know, but atleast it was the culprit.
After cleaning up the brass elbow and grommet, we installed the new pickup tube with the grommet already slid over it into the tank. The grommet did not want to slide in easily and it took the help of a small screwdriver to convince it to pop in there. Once the grommet is in, you can hook the brass elbow into the pickup tube and slide the pickup tube firmly into place in the grommet until it's seated all the way down. Hook the fuel hose back up to the elbow, tighten the clamp down and you're all set.
Hopefully this will help anyone looking for answers in the future!