absolutely. it is the difference between open circuit voltage and load voltage.
to illustrate. you can hook flash light batteries end to end (in series), say C cells, together. the voltage will be 1.5 times 8, or 12 volts. think it will turn over your tractor engine? no way. you need to be able to deliver the current the starter needs to turn over at it's rated voltage. make the cells cold and it's even worse.
i would check all your connections and cables to make sure they are good, clean metal and not corroded in any way. then, if you have one of the newer type electric chargers with a desulfate or equilibrate setting, try running that cycle on the battery. first, remove the battery from the tractor. check the water in the cells of the battery and top of with distilled water if any low. then run a desulfate cycle. it will take 12 - 24 hours. now the battery is in the best shape it can be for its age.
try it to see if it works or load test it if you have a load tester. your local auto or farm supply shop could also load test it for you.
chances are, it's toast after six years. thats about the typical life of a lead acid battery in storage. the inner plates start to internally short out and current draw is significantlyl reduced. worst thing on a lead acid battery is storage in a partially charged condition.
the best way to keep your new battery from going downhill is to keep it top charged with either a $5 harbor freight trickle charger or a small solar charger (about $25).
good luck.
amp