Many people consider education to be part of training, so in that sense, certainly. Not sure of the impact on innovation though.

It  is unclear, to me at least,  what exactly it is you are examining or trying to examine.  It might be useful if you can elaborate somewhat more so that we do not have to try to figure out what you are looking for. That said, I will try to give a broad answer.

If  we use the phrase "education & training", there is an implicit assumption that education relates to enhancing the capacity and capability of the mind. Training implies imparting certain practical skills, alongside some basic theory, usually related to the performance of a task, or job, if you will. I therefore agree with Mr Weatherdon, above in respect of the relationship between education and training.

Taking the above as starting point, I would think  that in the MENA ( I assume you mean Middle East and North Africa, seeing that you are from Algeria) , education does take place -- you are at an educational institution. After graduation, you or your fellow students might be seeking jobs, but may not have all of the job-specific skills.  If so, your empoyer might put you on a training course. If employers do that, then surely any government worth its name must surely have policies designed to raise the skills level of the population.

Doctors are educated in many pre-clinical subjects, and once they have "mastered" anatomy, biochemistry, physiology, pathology, microbiology, etc, they will enter the clinical part of their medical studies. Here they will learn the basics of history-taking, differential diagnosis, geriatrics, opthalmology, cardioogy, haematology,  etc., etc., all of which are  really training in both theories and most certainly, practical skills.  Technicians also undergo practical training  after  their iintroduction to theories.  The same applies to engineers, accountants, mechanics, construction workers, electricians, garbage collectors, etc.

Conclusion: All countries will have training skills, but what matters is whether they are effective, that governments do have systematic policies to  promote, foster and implement   training programmes that contribut to the economic well-being of a state in MENA.  having visited Dubai, Abu Dhablu, Bharain, I can say that these emirates do have ttraining policies in place. How effective they are, I am uunable to say. Perhaps others haiing from these emirates may be in a better position than I am , as I was only a fleeting  visitor to these  shores.

PS: On the issue of innovation, I think  with some training, for a curious, creative mind some incremental innovation can result. For the more difficult radical  innovation,   education  will be needed. However, housewives, attending to their daily Household chores may come up with ideas for innovation, but realizing the ideas may well require more educated minds or at least technical minds.

You may want to consult the work of the European Training Foundation (ETF) in Turino, Italy. They have projects in this field running.