I'll play a little longer. Whether you can get to where you need to be depends on the cause.
Amblyopia is the brain's inability to process visual signals from the eye. It can have several causes, one of which is refractive. If you have different degrees of refractive error between your eyes, the brain doesn't develop the ability to fully attain stereoscopic vision. There is a relatively brief window in brain development where this ability gets hard-wired in. Once that time has passed, restoration of normal stereoscopic vision isn't likely, even if the refractive error is corrected. You may have had a small degree of refractive imbalance your whole life, which was not enough to impair your daily functioning, but did result in an inability to develop full stereoscopic vision, which you now exhibit on detailed testing.
Alternatively, you may not have amblyopia, and simply don't have the uncorrected visual acuity to meet standards. If you make the grade with your lenses, happy day. If you can't get to the required level with corrective lenses, the problem is likely downstream from your eye, and not easily remedied, if at all.