No, since you are the controller of your site hosting the Facebook component. Facebook is in that workflow 'merely' a data-processor. Advertising companies have lobbied long and hard to drive an interpretation of the GDPR in which they would be considered a 'controller', resulting in 'nothing changes for the business, realy'. AFAIK, they (thankfully, from a privacy perspective) failed.

It realy is very much like environmental regulation. Before things like the EPA etc. came to be, it was a toxic 'everything goes' type of environment. Transition to a regime where businesses are held to data responsibility might be painful at first, but ultimately hugely beneficial to all.