Imposter syndrome!!
Qualifications are not that important. They can be useful, but really they are only a shorthand to say "I can do this thing". It doesn't mean that ONLY people with that qualification are capable of that thing (obviously for things like medicine, you do need the training in Doing The Thing - but generally). Once you have a foot in the door at a company, they tend to look at whether they think you can do the thing, whether or not you have the qualification. For people outside the company, unless they have the qualification, the company doesn't know - so you are at an advantage compared with random people on the street.
Also, quite a shocking number of people are really, really terrible employees. If you actually care about your job and do it to the best of your ability AND have interest in something higher, this is like gold dust and a good company will notice that and often recognise that lack of qualifications doesn't necessarily mean you're less able, but often that you simply didn't have the opportunity at the same time as the other, more qualified candidate did.
So in short, yes, companies really do give jobs like this to people like you. Go, be yourself, do your best, and communicate. An interview is as much for you to see if the job appeals to you as it is for the employers to see if you appeal to them.