Yes, Meta allows you to connect your WhatsApp Business account to your business' Facebook Page. After doing so, updates made on that Facebook Page will appear on WhatsApp. Additionally, you will be able to add a WhatsApp button to your Facebook Page that will send end-users directly to your WhatsApp.
For instructions on how connect your WhatsApp Business account to your Facebook page, see their article: Connect your Facebook Page and WhatsApp account. The steps in that article are also summarized below:
Your WhatsApp Business account is now connected to your Facebook Page.
Learn more about the WhatsApp channel of the Sinch Conversation API