Traditional cobblers seem to be dying out in these modern days of mass produced and cheap footwear, most of the ones I knew of around here are long gone and replaced with 'heel bars' which don't appear to have the skills or equipment used of old (but of course there will always be the exception I am sure!) But yes, a competent cobbler should be able to undertake such a job with ease.

Many years ago, I remember visiting an old retired cobbler at his home where he still did 'bespoke' shoe manufacture from his old shed - he had all the machines/equipment salvaged from his long term business when he closed down/retired. The quality of his shoes/leather work was exceptional and a pair of his shoes (made to order) were well out of my price range. I remember it a privilage to share his time with him, even at that time, he hung his head when he said what his Industry was becoming, the 'heel bars' and cheap mass production footwear literally put him out of business as he just couldn't compete!
Another cobbler that will be long gone now - along with his skills - so sad!

ASM