Yes a police officer can lie to you. However, you cannot lie to a police officer as it is a crime to do so. You would be charged with "Obstructing or Hindering Law Enforcement Officer O.C.G.A. 16-10-24(a) " which is a misdemeanor.
Or "O.C.G.A. 16-10-24 (3) Obstructing or Hindering Emergency Phone Calls"
Or "O.C.G.A. 16-10-25 Giving False Information to Law Enforcement Officer"
Or "O.C.G.A. 16-10-26 False Report of a Crime"
I belive that all the charges above have a penalty of up to one year in jail and a fine of up to $1,000.

