Light aircraft reported that after takeoff from TCY he became aware another aircraft broke off their landing attempt because of the conflict with his departure.

Narrative

This is my first report. I was distracted by cabin conversation and 'get-there-itis' when preparing for takeoff from TCY yesterday afternoon. As this was just a quick fuel stop; I was eager to get back in the air and failed to do a full run-up. On taxi; I listened to CTAF and do not recall any traffic coming in on downwind; base; or final; though the cabin was not sterile at the time. After I made a radio call noting that I was taking the active Runway 30 for a straight out departure. That's exactly what I did. I only found out after takeoff at 800 feet on upwind that there may have been a plane on final and they aborted their landing because of me. I'm not certain that this actually happened as I never saw the plane on final; my passenger in the back seat said he thinks that that's what happened. I did see another aircraft taking off right behind me and it could have just been him on upwind behind me. Regardless; I thought I would report it and in the future; I am going to endeavor to have a sterile cockpit on near the runup/end of runway and to do a full runup and prep for takeoff every flight.