Yes! But first you will need to upload it to a hosting service.
The hosting service can be anything from Youtube, Vimeo, Facebook to even Google Drive.
In itself, a movie cannot be embedded on a web page let along a tooltip. In order to add any video to any webpage you need a player to go along with it. This is what the likes of Youtube and Vimeo bring to the table. In fact you embed a player on the web page and tell it to open a specific file that you uploaded beforehand.