Hunting for fun is not permissible in Islam
Do not kill animals and birds for fun.
Hunting that is done for fun and recreation only, and when the hunter has killed the prey, he leaves it without making use of it at all.
This type of hunting is disliked (makruh) according to some of the scholars, and others are inclined to think that it is prohibited (haram). The evidence for it being disliked is the report narrated by ‘Abdullah ibn ‘Amr (may Allah be pleased with him), according to which the Prophet (blessings and peace of Allah be upon him) said: “Whoever kills a sparrow inappropriately, Allah will ask him about that on the Day of Resurrection.”
It was said: What is appropriate [with regard to hunting]?
He said: “[What is appropriate is] that you should slaughter it and eat it, and not cut off its head and throw it aside.”
Narrated by an-Nasa’i (4349) and ad-Darimi (1978). Adh-Dhahabi said in al-Muhadhdhab (7/3614): Its isnad is jayyid (good). It was classed as sahih by Ibn al-Mulaqqin in al-Badr al-Munir (9/376); and classed as hasan by Ibn Kathir in Irshad al-Faqih (1/368) and by al-Albani in Sahih al-Targhib (1092).
Complete Answer :https://islamqa.info/en/answers/171618/ruling-on-hunting-for-fun-and-hunting-during-breeding-season-and-nesting-season