Absolutely Mr Red. People often talk about ' Birmingham dialect' for example when referring to the 'Brummie' pronunciation, which is, as you say, accent.
Obviously, any language will have elements of both, but they are distinct. Learners would do well to concentrate on each, because pronunciation and vocabulary are equally important in making oneself understood.
I'm very interested in tonal languages, where the raising or lowering of the voice over a syllable changes the meaning. My Chinese friend Betty Ko from Hong Kong (we became friends at University) taught me quite a bit of Cantonese, and she was always demonstrating this to me.
For instance, 'ma' on an even tone is 'mother' but on a rising tone means 'horse'! (I admit I may have got this the wrong way round - it was nearly sixty years ago!)
Sorry about all this rambling - don't get me started on languages - it's my obsession. (Have you noticed eh?)