Yes, covid vaccines can and do cause facial paralysis. Obviously, the fake news media is covering for the vaccine industry by censoring this fact:
Contrary to media reports, COVID-19 vaccines do cause a paralyzing facial condition
https://www.naturalnews.com/2021-02-27-covid-19-vaccines-caused-paralyzing-facial-condition.html

February 26, 2021 (LifeSiteNews) – The mainstream media have inaccurately reported that Pfizer’s and Moderna’s new COVID-19 vaccine trials found no potential risk of Bell's palsy, a condition that causes…
www.naturalnews.com@HealthRanger I went to a birthday dinner for my granddaughter with her brother & my eldest son the firefightermedic and his wife whom bith have had their 2nd shots. He said after he got it he had a fever and was in bed for a day. Then he started complaining about the pain in his left foot. His wife is not talking about it. Not sure whats next but I will keep you all posted.