It's entirely possible to work around physics, the universe and the theoretical side of things as a graduate in engineering. For instance, at CERN, I'm sure they have at least 10 times as many engineers as scientists. All the exploration projects (satellites, space transport, etc) are built by engineers, so you could absolutely get stuck into work like that.
My university offers a scheme called "Add+Vantage" where one of your short modules is an extra-curricular subject. This means you could spend 10 weeks or so each year learning a language. I did pilot licence theory in my first year, but I've opted to do something surrounding film making. It's an opportunity to learn new things and get away from it all, really. Optional modules go from languages to humanities, arts, technology, etc. Other universities may offer similar things, so you should ask about it and see what they have scheduled in terms of languages and EC activities.
From my first year, I have to say that a lot of the engineering that I've been doing has mostly been an application of the mechanics modules you'd do in physics/mechanics (maths). There's also a great deal of design, electrical and pure mathematics involved. I did product design technology, maths, physics and electronics at college and my course was literally a continuation of those skills. If you're into that sort of thing, engineering could be a good opportunity for you. If you prefer the more theoretical and "weird" side of the physics (astro, nuclear, new discoveries, etc) then that would be your best choice.
And as mentioned, you're not learning a trade - you'll be a graduate in engineering and you won't be doing be fixing boilers, laying bricks or installing cabling, you'll be designing major systems! For instance, I'm looking at joining a company for my industrial placement who design aircraft landing gears, or perhaps working towards a career in F1.
When looking for a course (for engineering, if you go down that route), it would be sensible to pick a university who offer a sandwich degree (a degree with an industrial year out) so that you can work in industry for 6-12 months as you'll be able to find a lot more work opportunities (or even be offered a job) because of it. It does mean doing a 4 year Bachelor's degree instead of a 3 year course, but you'll be doing real-life work for some of it and it may help you to become employed. You might be looking for a quick path to becoming a graduate, but it could help you to become employed, so well worth it in the long run!
It also doesn't hurt to check that the course is accredited. It isn't the end of the world if it isn't, but it may help you to become chartered in the future. I'm not sure how the general engineering degrees work in that sense, but the course page will usually tell you this sort of information.