My Aloe vera plant has a leaf where there is gaping hole in it as well as some brown spots. That leaf hasn't been growing. Should I cut that leaf off?
That appears top be the oldest leaf on the plant, and so probably almost ready to yellow and die anyway. You can cut it, just above the level of the potting medium. That shouldn't hurt the plant at this point, because the leaf is already damaged and probably not very efficient at photosynthesis anyway.
And try to get it into a brighter spot if you can. I see long, soft growth typical of inferior lighting. It's called etiolation (it's not super bad in yours, but I definitely see it). Also, do not water the plant or leave it in the rain, after cutting the leaf, until the cut is dried/calloused over.