Is it possible to handle this requirements with iOS7 standard API or do I need a 3rd party framework
It's certainly possible to do it all yourself with no help from anybody except the frameworks that Apple provides. Whether that's the best solution for you, only you can decide. I think these are the relevant considerations:
You seem to have some fairly specific requirements and it sounds like you may need fairly fine control over exactly how this histogram looks and works. These are good reasons to create the histogram yourself.
You're still fairly new to Objective-C, Cocoa Touch, etc. That's a good reason to look for something that's already written. You'll save a lot of time and frustration, but you may have to be a little more flexible in terms of what you're willing to accept; it's unlikely that anybody has already written exactly the thing you want.
I'd suggest taking a shot a building what you want, and if it turns out to be a bigger thing than you're ready to tackle, you'll at least have a better understanding of what's involved.
To get started, read up on UIBezierPath. All you really need to do is to create a view that accepts an array of numbers and draws the corresponding graph. Don't worry about zooming and scrolling yet, just make a view that draws the graph. Once you have that, you can read up on UIScrollView, which will give you the scrolling and zooming with almost no work.
