You shouldn't damage your cells as long as you don't run them down to the point where one of them is almost completely discharged and starts getting a reverse voltage applied by the remaining cells. With 7 cells in series you want to make sure the cells are well matched to each other and recharge the cells well before they are fully discharged to avoid that situation. I'd suggest checking two things with your multi-meter. First, check the voltage across each cell individually when the light is on to see that the readings are uniform, and second, get a current reading when the light is on since 0.92A is just a nominal value for the bulb and will vary depending on exactly how much voltage is applied to it.

The voltage drop of about 0.2V/cell at a current of about 1A is a little high, but not by much (normal internal resistance of an AA NiMH cell is just under 0.2 Ohms).