Was it possible Yes... Concorde LHR-JFK was typically 3.5hrs, NYC is GMT-5. You’d have to leave between 00:01 and 01:29. The evening Concorde departure was I believe about 18:30-19:00 and Heathrow curfew is 11:30pm.
CX has flights leaving HKG to SFO/LAX/YVR between 00:15 and 01:00. You could celebrate New Years in HKG and arrive in any of the above for 20:00-21:00 the same day.