I am sure it can be done. The link from Deb is very useful, but this quote into account:
Note: You must be approved to use WhatsApp Business API and you can apply for the same through a WhatsApp Business Solution Provider such as WATI.io
It is difficult to get approval for using the WhatsApp API. There is a Dutch company (Trengo) that offers a single inbox for all type of channels (including WhatsApp) and I know there are people working on a monday <> Trengo integration. Interesting topic to follow.