It's definitely possible. I promote affiliate products on youtube and drive pretty good traffic that way. The same could apply to sending back to your website.
However, it's probably a better strategy to create content that your niche likes and not specifically push them to go to your website from videos (still put the link in the description though) as this can ruin your video reach.
YouTube penalizes your video for sending people off of their platform (the opposite is also true

)
Just build up a large audience and place your link on your channel banner and in the signature of your video descriptions.
Depends on the niche as well...
Cheers