You will use hands-on skills. You are pretty much guaranteed to make at least one physical thing at university. Having no experience is not ideal, but it shouldn't be the end of the world. That said, I've known plenty of people who struggled to use basic tools and measuring equipment on materials. You will no doubt have a workshop induction and perhaps some demonstrations on the tools though, so you can pick it up.
Regarding the personal statement, I never restored a car nor read any books on engineering beforehand. Don't believe that you have to do certain things to have a good PS, just relate the skills you do have to the course and show why you're appropriate. What have you done? Why is it appropriate? Why does it make you a good candidate (and someone who will do well?). Why will those skills and that degree help you in the future when finding a career? I did talk about design technology projects I'd done in my personal statement, so some practical evidence may help out, but just make do with the skills you do have.
The course content is largely to do with what you've done in maths and mechanics. The rest is a bit to do with more "physics" type concepts and there is even a little bit of chemistry too (molar masses, things like that). You will also learn to use computer software such as CAD and things like MATLAB which is mathematics software - It's sort of like programming for maths. There really is a large range of skills that you will use, so don't panic if you lack one of them as you may have more experience in a different area. As a student you can get Autodesk CAD software for free, so you could try creating some things and documenting your successes in the PS.
Have you considered changing the French for design technology or electronics a more practical subject? You don't have to, but it may reinforce or otherwise help you to decide on what course is right for you.