The phrase "attainable though" is correct and usable in written English.
It can be used to indicate that something is achievable despite certain challenges or conditions.
Example: "The goal may seem ambitious, but it is attainable though hard work and dedication."
Alternatives: "achievable nonetheless" or "feasible despite".
Being there at the State of the Union and seeing the legislators interact with one another made my dreams feel attainable, as though I could be a part of Congress one day.
In metaphysical terms, the purified soul is said to be capable of knowledge, so of being saved – even though, like the Ismâ'îlis, the Ikhwân deny salvation as attainable through solely philosophy.
Camp regards these targets as attainable, even though she has raised only about three million dollars so far.
I already knew that I wanted to be a writer, but the deceptive simplicity of his voice made writing seem realistically attainable to me — as though all you had to do was get out of the way and let the story tell itself.
Other requirements, though attainable, seem just plain wrong-headed.
Her lifestyle, though extreme, is attainable because we are far more alike than not.
How much effort you invest in defining the problem in contrast to how much effort you invest in solving your actual problem is a hard balance to achieve, though one which is attainable with practice.
He pursued the goal of a unified theory even though he doubted that it was attainable in his lifetime or ever.
In our model, linkage went to fixation only after specificity reached the level attainable in a system with independently replicating genes, even though chromosome-harboring cells appeared earlier, but these were competed out.
Though while it may create new jobs, they likely won't be attainable by those losing their low-skilled ones.
At the time, low attainable aspect ratios that Spindt emitters offered, though better than their planar counterparts, limited emitter performance.
