The visually impaired young man overcame his handicap.
Literal
Eye [poss-の] not-free that young-man [topic-は] handicap [obj-を] overcame.
克服する ('overcome, conquer') is a Sino-Japanese verb for surmounting difficulties. ハンディキャップ is a loanword. 青年 ('young man') is a slightly formal term for a male in his late teens to twenties.