As animation is not haram its also not haram to make them or draw them.
Is it haram to draw humans and animals. Even the ruling on drawing eyes in Islam or other facial organs falls under the same category because they are the essence of life. It is not permissible for a person to wear clothes on which there is an image of an animal or a person and it is not permissible to wear ghutrahs or other headgear on which there is an image of a person or an animal because it is proven that the Prophet peace and blessings of Allaah be upon him said. Reason- Allah didnt forbid to watch normal cartoons and anime unless showing of skin or any haram things are shown.
Also the picture or image should not be revered or glorified. So the general rule is that when it comes to drawing painting and making statues everything is permitted. Plain and simple the reply is yes.
There is no objection to pursuing art painting and drawing as. It is not permissible to draw the picture of humans and animals. The detested pictures and images are only those which are worshiped and revered.
The intent of the law prohibiting images was that in pagan times it was a direct means and way to shirk associating other beings with Allah. Drawing is prohibited because there is an attempt to represent Gods creation. Yes because we have been warned that those who make images of a living being or that which has a face either by drawing it carving it etc will be punished on the Day of Reckoning when they are asked to bring to life that which you have created and they will be unable to do so as only Allah is able to bring to life that which is lifeless.
Firstly drawing and painting animals and humans is prohibited due to the act that there are countless Hadiths narrated from the Messenger of Allah Allah bless him give him peace that strictly prohibit painting pictures of animate objects for example. According to Sheikh Mufti Muhammad ibn Adam al-Kawthari on the issue of DrawingPainting Pictures of Humans and Animals. The angels do not enter any house in which there is an image.
No drawing anime and cartoons is not haram. As it is common knowledge there are countless Hadiths narrated from the Messenger of Allah Allah bless him give him peace that strictly prohibit painting pictures of animate objects for example. So when islam came ALLAH SWt didnot make it haram at once.