Can a new Li-ion battery be left as is for a long period of time w/o removing it from its original packaging and charging it?
I just un-packaged a new 18650 battery I had for my flashlight and put it on the charger and it showed it was very low. So I would say go ahead and charge it up.
I was looking to keep it as a back up, I have three of them, and only need two at the moment. Or is leaving it as new and unused bad for it?
It's not bad for it really, but they will calendar age and lose capacity and power performance regardless of if it's used.
If you wanted to store it, I'd add a few percent SOC and store it in a refrigerator.