S.M.A.R.T. goals are often interchangeably written with the A as either achievable or attainable.
Attainable is wrong.
Achievable refers to something that is capable of being accomplished, while attainable refers to something that can be reached or obtained. In other words, achievable is about possibility, while attainable is about accessibility.
The Content Authority – https://thecontentauthority.com/blog/achievable-vs-attainable
When defining goals, you are looking to remove ambiguity. Therefore the A needs to be achievable because we are interested in assessing whether or not the goal is possible. If it is not possible, then we have not written a clear goal.
S.M.A.R.T. goals are a way of setting oblectives that are clear, trackable, and achievable. S – specific; M – measurable; A – achievable; R – relevant; T – time-bound