I think the OP is asking if one night of carbing is enough to know that he/she won't have bottle bombs. The answer is that it is probably not long enough to know. To keep it succinct, during the bottle carbing process the feelig is that it takes the yeast about 2-5 days to process the newly introduced sugars from your carb drop and make CO2, so one night is probably not quite long enough to know. **NOTE: full bottle carbing process for proper carbonation takes 3 weeks in my experience**
What other posters are asking, and why it is the correct way to think of "is it safe to bottle", is that if the SG of your beer is stable for 2-3 days in a row in your fermenter, there are no more fermentable sugars remaining in the wort. Bottle bombs can happen if there is too much sugar (either from adding too much priming sugar (ie. carb tabs) or from having too much remaning sugar in your beer prior to fermenting (ie. bottling too soon) )
To know for sure if it is ok to bottle, check SG 2-3 days apart and if the final gravity is stable and at/near your expected FG based on yeast attenuation, you can feel confident in bottling safely. Then leave the bottles for 3 weeks or more to properly carbonate your beer.