Yes, it is possible to grow a mango from seed. However, mangoes are not indoor plants, and unless you live in a tropical or subtropical environment, you will never have much success. Mango trees are
--big-- trees and need to be several years old before they bear fruit. They cannot withstand frost.
In addition, most mangoes in commerce are hybrids, so the tree will probably not be true to its parent and will not yield fruit of the same quality.
J. Del Col