Can an unstable job history prevent someone from getting a better job?

I haven't held a job for more then a year since 2002. I have voluntarily left the jobs for various reasons, such as the job having no growth/advancement potential, more responsibility then I can handle, not having enough responsibility (hence becoming bored at work), bad pay, bad hours (I've either had a great hourly wage but with part-time hours or vice versa), and I have been fired 3 times. Twice for not being able to keep up with the basic, minimum reqirements of the job (telemarketing surveys and serving)and once for a no call/no show.

It can, but don't let it stop you from trying! A new employer can see the length of time you worked somewhere, but they usually can't find out why you left unless you tell them. There are laws about what information they can give out. Most places are so afraid of getting sued that past employers wont tell somebody any more than start date and end date. Thats it. My job history is full of short employments with long gaps in between, but last year I landed a very good job with good pay and plenty of benefits and vacation.

Some possible employers may be concerned if they see a resume where you jump from job to job, since most employer are looking for someone who will stay with the company.

It can but only if you are up against a similarly qualified applicant. Stability is not the first thing most employers look at unless it is a small firm than they tend to be more of a family and stability is very important.

You being fired for sloppiness will however affect their decision a lot.