for example my instagram account is "A" and i have an image on account "B". can i get a list of likers of the image on account "B" with account "A". (All works such as authentication and all thing about instagram api is done on account "A").
Yes, with public API you can get latest 120 likes of any public user's post.
You need to have public_content permission scope and use this API:
https://api.instagram.com/v1/media/{media-id}/likes?access_token=ACCESS-TOKEN