Interactive orthographic corrector in a chat

I would like to add an interactive orthographic corrector on my website, but I don't know if it's possible.. I have a chat in my website, and I would like that when the user is typing on the chat, an interactive corrector is enable like on mobile phones. And it will propose and automatically replace the correct word, if the word that the user put is a misspell.

Do you think it's possible ?

Thanks a lot :)