Modern digital cameras can do a great job of digitizing prints and slides, and with a little trouble, even negatives.
Your Olympus OM-D E-M10 Mark II has a sixteen megapixel sensor, which is plenty for digitizing all but highly specialized photolithography film.
That said, scanners can be faster, if you have a lot to do, and have the right scanner.
I used a Nixon LS-4000 slide/film scanner with a bulk slide loader and a motorized negative transport to automatically digitize tens of thousands of frames. You'd load up to 40 slides, or an un-cut roll of negatives, and go away for an hour or so, and they would all be nicely digitized when you got back. That combo set me back thousands of dollars, but they have gone out of favour, and you can find them used at a more reasonable price.
Scanners of less capability will generally need much more babysitting. You should carefully clean each slide, insert it, begin the scan, then insert the next, on, and on, and on… In my opinion, this is no less tedious than digitizing by camera, if you have a macro lens and a slide holder for it.
So if you don't have tons of media to digitize, and if you don't want to spend money on bulk scanning solutions, your camera will do just fine.
I would make a couple investments, though.
- If you plan to do slides or negatives, get a decent macro lens. It needs to do at least 1/2 life-size, or 0.5 reproduction ratio, to fill a frame on your E-M10. This is a multi-purpose investment, and you can have great fun with macro photography when you aren't digitizing!
- It's worth getting a slide/filmstrip attachment for your macro lens. Third-party ones that screw onto the front of your macro lens are fairly reasonable on eBay.
- If you're doing more than just onsey-twosey print digitizing, a copy stand will greatly speed your work. You can make one out of an old enlarger fairly easily, and people are giving those away these days.
- an easel is highly recommended. Old darkroom easels were used for holding photographic paper under an enlarger, and will be invaluable for holding your prints nice and flat.
If you don't have many prints to do, you can get by with your tripod, but the stand and easel will make it much faster for doing many prints.
For slides and negatives, you may be able to get by without a macro lens by using either extension tubes, or a close-up filter. The close-up filter attaches to the subject end of your lens. The extension tubes go between your lens and the camera. Either of these will work better with a prime (non-zoom) lens.