B767 FLT CREW LANDS WITHOUT TWR CLRNC AT JFK.

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ON APCH TO RWY 31R AT JFK; AFTER VECTORS TO FINAL; WE WERE CLRED FOR THE APCH. THE CTLR'S VOICE HAD BEEN FEMALE. IT HAD BEEN A SOMEWHAT RUSHED APCH FROM THE STANDPOINT THAT THE CTLR WANTED A GREATER SPD THAN THE ONE THAT WE REQUESTED. A COMPROMISE WAS MADE. WE WERE CONFIGURED AND CHKLIST COMPLETED AT ZULAB (FAF). THE TWR FREQ WAS TUNED. AT AROUND 1500 FT; WE HEARD A MALE VOICE SAY 'ACFT X HVY?' THE PNF SAID AFTER WE REALIZED THAT WE HAD NOT CALLED THE TWR 'ACFT X HVY INSIDE ZULAB FOR RWY 31R.' WE BOTH BELIEVE THAT WE HEARD THE MALE VOICE SAY 'ACFT X HVY; CLRED TO LAND RWY 31R.' PNF REPLIED 'ACFT X CLRED TO LAND RWY 31R.' AT 1000 FT; THE PROPER CALLOUTS WERE MADE AN I ACKNOWLEDGED 'CLRED TO LAND RWY 31R.' AFTER TURNING OFF THE RWY; I HEARD THE PNF SAY THAT WE WERE STILL ON APCH FREQ. WE CONTACTED GND. WE WERE CLRED TO THE GATE. THERE WAS NO TWR. HE ASKED WHY; SHOWING NO CONCERN. I SAID 'IT WAS ABOUT A CLRNC QUESTION.' I SPOKE WITH SUPVR WHO SAID HE WASN'T AWARE OF ANY PROB. WE AGREED THAT IT WOULD BE VERY UNUSUAL TO BE CLRED TO LAND BY APCH CTL. HE SAID THAT HE WOULD LOOK INTO IT; SAYING THAT THERE HAS BEEN TRAINING GOING ON A LOT. MY FO AND I WERE VERY PERPLEXED. WE DEBRIEFED THAT EVENING. WE STILL BELIEVE THAT WE HEARD A CLRNC FOR US TO LAND. WE DID HAVE 121.5 UP. MAYBE THE CLRNC CAME FROM TWR; IF IT DID AT ALL; ON 121.5. CONTRIBUTING FACTORS: GETTING A BIT RUSHED. HEARING A DIFFERENT VOICE ON FREQ. I USUALLY CHK THE FREQ AT THE 1000 FT CALLS; BUT FAILED TO DO THAT ON THIS FLT. ONE OTHER MATTER THAT STILL WAS IN OUR CTL; THOUGH. THEY WERE RUNNING THE APCHS INTO THE ARPT IN IFR CONDITIONS AS IF IN CLR CONDITIONS.