Yes, four more sequels are planned to be exact.
From variety.com
“We always knew that it was going to be more than one movie — we knew that from the start — so we set a trilogy as a sort of placeholder, because we knew there would be more than one movie, “Rowling said at the Empire Theatre in London.” But I’ve now done the plotting properly, so we’re pretty sure it’s going to be five movies.”
And from collider.com:
“We do go back to the U.K. in the second film as well–it’s U.K. and Paris. I’m not sure where Jo is setting the rest of the movies, but they’ll be European-centric. I think it will be difficult to ignore America, but the next one is predominately Europe.”
And finally, Yates teased that Ezra Miller’s character Credence plays a pivotal role in the follow-up:
“Credence, we follow Credence further. He becomes quite pivotal actually, Credence is quite crucial.”
Even it's said that Johnny Depp will be having major role in follow-up film.