The answer to this is a resounding yes.
Lessons are a vital part of being the best golfer you can be. Finding a good coach who can work with your club fitter is very important.
Problems with your game can be swing related or equipment related. We often see clients who have a swing defect because they are trying to compensate for an equipment problem.
At Cool Clubs we do not coach we are a specialist club fitter. That said there are times when we will stop a fitting because our client really needs to fix a swing problem. When this occurs we reschedule the fitting so the problem can be corrected by the clients coach.
So put simply both aspects of the game are important and should go hand in hand to making the game more enjoyable.