Not at all. You can buy a good, reliable, well maintained car for $3,000. Mileage is less important than maintenance history. The Focus is a particularly good choice IMO. They are reliable, pleasant to drive, and Ford made gazillions of them so you can get them repaired anywhere and parts are cheap.
You can also buy a basket case for $3,000, so you do need to have a bit of an idea of what to look for (or what to avoid).
Wasn't there a year recently where reliability skyrocketed? 2004 or something? I thought I heard there is a clear cutoff point where you should not consider buying a car before that date.
Look for any 1999+ Toyota Carolla/Prism with under 200k. Many camary of that era are bulletproof. Civics all got bought up by ricers, but '3k civic' is literally a meme for being so common.
You can also buy a basket case for $3,000, so you do need to have a bit of an idea of what to look for (or what to avoid).