Can you get a decent, well paying job with an associates in Office Management?

Community colleges typically offer associates degrees in general studies designed to meet the gen ed requirements for transfer to a university towards a bachelors degree. These are true college level associates degrees.

Some community colleges also offer non-college vocational certificates in things like secretarial skills, hairstyling, carpentry, welding, etc. These are sometimes misleadingly called "associates degrees", when in fact they are not true college degrees at all, and thus, won't transfer to a well respected state university. (The for-profit vo-tech schools are notorious for mislabeling their vo-tech certificates as "associates degrees") When the school says that their office management program is a "non transfer degree" they are telling you that it's actually a vocational certificate that is not considered a college level associates degree for transfer to a university.

You should still be able to use your training working in an office though. Just because it's a vocational program does not mean that it's not still valued in the job market. It will probably never pay as well as a true bachelors degree, but it puts you a step above those with just a high school diploma.

Yes--possible.