FBI lied to the fisa courts to obtain a warrant to spy on Trump, so on that basis yes the FBI is known to lie.

https://www.judiciary.senate.gov/press/rep/releases/newly-declassified-document-indicates-fbi-misled-congress-on-reliability-of-steele-dossier/

https://www.justice.gov/usao-ct/pr/fbi-attorney-admits-altering-email-used-fisa-application-during-crossfire-hurricane

FBI lied to the fisa courts to obtain a warrant to spy on Trump, so on that basis yes the FBI is known to lie.