Alright then, to be able to do something, you will generally need these 3 things in order to do a thing, anything in fact.
- Can you do the thing?
- Do you know how to do the thing?
- Do you want to do the thing?
Can they do it?
Since you stated that magic can only work with a user nearby doing it, and there are no simple things like:
not Harry Potter-esque "clean yourselves, dishes".
What I would imagine the industry of a magic society would then be a bit like the city from the Legend of Korra, where they had fire bender clock in and shoot lightning at a dynamo thing, which then powers the rest of the city via electricity. I would then imagine that if your magic is primarily elemental manipulation, than it would also likely end up like that.
Not only that, since your mana is solar and kinetic powered, your power generators would then be actually quite reasonably green and eco friendly.
So, can they create electricity? The answer would be a simple yes. If your magic using society from the far future was cast out to another planet or something, they would be very quickly be able to industrialize things. However, that is based on a fairly important thing that needs to be discussed next, which is:
Do they know how to do it?
Very obviously not at first, so they would have to go through roughly the same progression of science in order to be able to create dynamos to generate electricity, uniform spring steel in order to build factories, and some other things.
This would probably be the factor that makes the magic using society fairly slow at industrializing, I would imagine, as there would be fairly little need for a magic using society to advance their sciences to the point of industrialization.
Your society would need to be forced into advancing their industrialization, and for that I can imagine a short and simple Dark Age where their magic simply stopped working for some time, like a century or so, would cause industrialization to happen quite surprisingly fast.
Do they want to do it?
Well, as their population grows, subsistence and local craftsmen would simply be unable to work well enough, so of course they would see a need to increase their production of anything, from food crops to magic wands in order to be able to sustain their growing population