Had some issues and needed to turn off the water to my house. Fixed that problem but when I turned the water back on, the stem was leaking from my valve. I tightened the nut and that helped a lot, but didn't shut it off completely. I'd like to repack the stem but I cannot turn the water off completely as there is sediment or corrosion in the valve and I can't turn it off completely, it still has some pressure.

I know I need to replace it (most likely will need to get city involved to shut water off outside) but for now, is there any way to repack that stem with *some* water pressure still in it? I know when I tried to unscrew the nut, it leaked a bit more but not what I would consider 'full' pressure. Any thoughts?