Personally, that tells me a lot about why you'd be good for "university" or a maths/physics degree, but not so much about "engineering".
In my personal statement I included bits about the work I had done so far (product design technology, electronics, etc) and why that particular course would be beneficial and how my skills can have an impact there. I also mentioned bits about the sort of work I'd like to do as an engineer and how that degree would get me there. As part of that, I mentioned a bit about some news articles at the time which were relevant and how my skills could change the world of engineering as professional.
Instead of just "I am interested", is there anything you can show you have done to prepare yourself specifically for that course and lifestyle? Engineering is not just about maths and physics, although it will underpin a lot of the work you do. Having technical knowledge of materials, manufacturing processes and assembly is very important too. Being able to use CAD/CAM, working on team projects and applying engineering skills is also massively important. A lot of that will be taught or otherwise given to you, but it will help to show you have an understanding of it before you go.
At pretty much every job interview I have had so far, they have presented me with a technical drawing or a technical problem and said to me "Go on, explain what is happening and how to fix it". These are companies working on projects costing tens or hundreds of millions and they need people who "know" engineering.