My question is
Is there anything like “Ladyluck” in Islam?
No. there is no such thing as luck in Islam, never mind lady luck. One Hadith says “و لا ينفع ذا الجد منك الجد”
Ie (O Allah!) “The good fortune of a fortunate one cannot benefit him in your court”
This phrase of lady luck is normally used by gamblers who take a lady to the casino for good luck. So it’s more bad.