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In my career so far, I have had three jobs.

My first position, I was a data analyst for a software house. My second position, I was a software developer for another software house, but I stayed for a brief time.

For my current position, I was hired as a developer for a non-software house. I have been there for just over three months. I am not sure whether I am enjoying this, and wondering whether I'm cut out to be a developer.

My experience level as a software developer is minimal, I self taught myself during my time as a data analyst.

Put simply: yes, it would be a major concern for anyone hiring you as a software developer. Being somewhat blunt, it looks like you don't have the skills to be a successful software developer. If your CV comes onto my desk, I'd probably reject it if you were applying to be a software developer.

On the other hand, if you were applying to be a data analyst, you can relatively easily explain away those two jobs:

I thought I was interested in moving into a software development role, but I now realise that I'm not, so I'm looking for a data analyst job.

That says to me "they made a mistake, they realise they've made a mistake and they're now fixing it". That's OK, particularly for someone just starting out on their career.

Is it frown upon to quit a second successive job after only a short amount of time in both positions?

Yes it is, it doesn't show anything positive, all the connotations are negative.

Either you can't get on with the people

Can't do the work

Can't commit

3 times in two years is a red flag for an employer.

Yes.

Consider the perspective of the hiring company. You have a vacant position that you need filled. To fill it, you need to advertise. You need to read CVs, interview people, and after they're hired, train them. All these things take time (and by extension, money). It should be clear therefore that as much as possible, you don't want to have to hire. You want the people you hire to stay until they retire.

If an applicant jumps between jobs, it's a red flag that in a few months' time she might leave too, and then you'd be right back where you started. What's the point then? You'd much rather higher someone who's genuinely interested in working for you and will stay on for longer.

If you must quit, do so quickly during the probation period. You can argue then that the job wasn't a good fit for you - that, after all, is why a probation period exists.

I was originally largely self-taught - just a couple of short non-credit programming courses. A few months into my career I did not know enough to run a project. I worked at the tasks I was assigned, and meanwhile studied for a master's degree in computer science in the evenings, and a few years later I knew more.

If you do want a software development career I suggest a similar strategy. Your current employer seems to have work available that I would expect someone self-taught with only a few months experience to be able to do well. Meanwhile, see what you can do to improve your programming education.

If you don't want to be a software developer, the prior answer suggests a good approach.