Is ok in Islam to check our luck/future by showing our hands to palmistry specialist? Please let me know in the light of Islam.

Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.

Know that all forms of astrology such as palmistry, telling one's future depending on stars or cup-reading are completely Haram in Islam. Allah and His Messenger consider such actions as major sins, since they are based on quackery and delusion.
Many sound Hadith warned us from such deeds and stated punishment for those who engage in them.
Abu Dawood reported from Ibn 'Abbas that the Prophet (Sallallahu Alaihi wa Sallam) said: "A person who learns a part of astrology is as if he learns magic, and the more he learns this, the more he learns of magic" .
Another Hadith by al-Nasa'i from Abu Hurairah reads: "Whoever puts his trust in something (sayings of soothsayers and so on), that will be its only supporter, i.e. he will not receive the Divine help nor success" .
A third Hadith recorded by Imam Muslim reads: "Whoever goes to a soothsayer and asks him about something, will lose the recompense of his prayers for forty days (or Allah will not accept his prayers)" .
Moreover, if this visitor of the soothsayer believes his saying, the punishment will be: "A person who goes to a soothsayer and affirms the correctness of the soothsayer's saying, will be considered a disbeliever in what was revealed to Muhammad " . Since Allah Says (interpretation of meaning): {Say: "None in the heavens and the earth knows the Ghaib (unseen) except Allâh, …} [27: 65]. {"(He Alone) the All-Knower of the Ghâ'ib (unseen), and He reveals to none His Ghâ'ib (unseen)." Except to a Messenger (from mankind) whom He has chosen (He informs him of unseen as much as He likes), ….} [72: 26-27].
A fourth Hadith reads: "Whoever augers ill omen or the same thing is done on his behalf, predicts the happening of something, or the same is done on his behalf is not of us (Muslims)" .
Therefore, a Muslim is strongly required to avoid such things and to advise others in this concern if he wants to keep his faith safe.
Allah knows best.