macbook wont charge regardless of charger being plugged in. no green light is showing either. possible dead battery that needs replacing?

i have a macbook pro that is just over a year old. a few days ago it was having issues with the trackpad, and i read that the battery could cause issues with that. after a few hours it managed to resolve itself and then yesterday i connected it to the charger and it just wouldnt charge. it was all plugged in correctly but the green light on the charger wasnt lit and no power was getting through. i turned it off when it was at 5% battery, and it wont change while off, nor turn back on. is it possible that the battery itself is dead and it needs to be replaced?

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