Will it be possible to use only a fuse-tap for (ACC) power and then ground the GRD cable onto a screw?
I don't understand what you are asking, you have said that it will be powered by the lighter socket, but then ask about fuse-taps. Fuse-taps are an alternative to lighter sockets, you don't use both.
Most dashcams run off 5V USB power.
If you connect 12V to one of them, they normally produce smoke and don't work - not recommended!
Some dashcams will run off 12V, in which case yes, you can run them straight off a fuse tap.
If you want to keep it simple but hardwired, probably best way to get a hardwire kit, if you can install a fuse tap then you can install a hardwire kit, but alternatively you could use a fuse tap to collect to the 12V, connect that to a standalone accessory socket (available cheap on ebay), and plug the dashcam into that using the accessory socket plug which nearly all dashcams have in the box.
If your issue is that you want to connect you dashcam to the fuse box because your lighter socket is always on, but don't want parking mode and want zero power use when parked. I would recommend getting a hardwire kit and connecting it only to switched power. This will depend a little on the manufacturer, but with Viofo dashcams, you can connect the GND to an earth point/screw, and connect both the yellow and red (ACC and BAT) wires to your ACC fuse-tap. Then it will be completely off when parked. Alternatively you can connect BAT to permanent power, Yellow to switched (ACC) power, and turn off parking mode in the dashcam settings. It will then still use a tiny amount of power in parking mode, but you can then use parking mode whenever you want it, and turn it off when you don't want.
Hope that helps? If not, try and explain your actual problem and concerns...