NO. That "someone" has a right to assert a registered trademark by notifying Facebook of the registration and your use of it, even if just a supplemental registration. It is unclear if "someone" and "another" are the same person. That's the problem with use of pronouns, as pronouns [especially "it" and "they", although here "another" and "someone" result in similar ambiguity] can lead to ambiguity. Registered patent attorneys are often trained to strictly avoid use of pronouns to avoid ambiguity.
I am not your lawyer and you are not my client. Free advice here is without recourse and any reliance thereupon is at your sole risk. This is done without compensation as a free public service. I am licensed in IL, MO, TX and I am a Reg. Pat. Atty. so advice in any other jurisdiction is strictly general advice and should be confirmed with an attorney licensed in that jurisdiction.