Its both yes and no. I soon found out its charging on a new cable. Next thing i know, its not charging again. I did format the whole thing myself but i still stayed at the same firmware (6.20 Pro B2).
What i can tell you is see if your wire is good by connecting your PSP Go to a computer. If it detects and you're able to put games or whatever. Check your battery indicator if its charging. If not, try plugging the USB cable of your charger to another charger. Any smartphobe chargers should do, just use a different adaptor/power supply.
If nothing still.. What i did is, well i left my PSP Go untouched and unplayed for at least 1-2 months. When i decided to check up on it, suddenly it miraculously charged.