Hard to tell from that pic, but there is a guide to overcoats here which you may find helpful:
Overcoats For Men: A Comprehensive Guide | The Art of Manliness
Im not too sure if its a trench coat?
or would it just be called a camel coat?
It's probably a Chesterfield, camel is the colour (and may be the material as well).
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I don't think that it is a Chesterfield, but the term is slightly vague and covers a range of topcoats. It definitely isn't a trench coat.
It is cut like a short Mackintosh raincoat but appears to made from a soft camel coloured wool. I'd call it a type of car coat and describe it by its features.
The Chesterfield coat would normally be cut like lounge suit jacket. It is a little hard to tell from the photo but this coat might well be. The collar would be unusual, however, as it features a camp collar, as opposed to the normal suit notch collar one would expect. Chesterfields are, generally, somewhat longer than this (though all overcoats are cut fairly short these days) and, generally, have a looser cut so that they can slip easily over a suit or jacket. There are enough non-standard features that I think calling it a Chesterfield wouldn't be helpful.
Trench coats are raincoats and always double-breasted.
I'd plump for 'car coat' because it is short. Car coats were designed that they would keep you warm but not get in the way when driving, so they had short skirts that didn't interfere with your legs as you sat. That's what you've got there, I think.
Speaking of which. What is the best length of an overcoat. I hate this new fad of making overcoats mid thigh length. Its far too short.
I just bought a similar coat by Jack & Jones and they call it a 'Driver Coat', so what Wolf said about a 'car coat' seems appropriate.