Some of it, yes. Lubricating rollers and hinges, checking that the tracks are clear of debris, tightening loose bolts on the brackets - all of that is homeowner work and it'll extend the life of what you've got.
Torsion springs are not homeowner work. They're wound under enough tension to break a bone or worse if the winding bars slip, and the tools to do it safely aren't things most garages have lying around. Cable replacement is the same category - if a cable's off the drum, the door is under uneven tension and can drop without warning.
If the opener runs but the door doesn't move, check the manual release cord hasn't been pulled and the safety sensors near the floor aren't blocked or misaligned - that's a five-minute fix a lot of people can do themselves before calling anyone. But once a spring's involved, or the door's off track, that's a call, not a Saturday project.