How can i learn animation my self at home ??

Check for some online tutorials firstly and then practice, post you work on to some online tutors and understand and rectify your mistakes. If this answer helps mark it as the best or else like it for appreciation. All the best!!

surely one can learn anything through self study. but practice of the art would need apprenticeship. arts are practiced under practitioners till you get fine tuned. so that's the way.