Is it typical to be almost a quart low of oil on 2013 Honda Accord after 6000 miles?

It is not unheard of for a new car to burn some oil during the initial few thousand miles. A quart within the first 6,000 miles is well within the industry standard of being normal. Sounds to me like the rings have not seated properly. Make darn sure you are using the correct weight oil which is 0w20. I recommend you change the oil/filter at this time. Now drive the car with some periods of full acceleration in short spurts. During the breakin period remember piston rings don't rely on their spring tension to seal against the cylinder bores. Instead, combustion gases work their way between the rings and the piston and force the rings outward. During the first few minutes of engine operation, it's important that the throttle be opened pretty far at lower rpm's to provide this high pressure. Otherwise, the rings won't burnish the cylinder walls properly, and the engine will have high volumes of blow-by-which means excessive oil consumption and shortened engine life. For the next few thousand miles, avoid constant speeds and throttle settings. Do not use the cruise control. It may end up that 1 quart every 6,000 miles is going to be what you have to live with and then again oil consumption may go way down over time.