Sadly, this is not recommended. The interconnected path relies on Software Updater. Without that running in the background, you would not receive any notifications of security updates, etc.
The biggest issue with this is not really that Gnome-Software runs in the background as much as that it is prone to memory leaks. Users Addressing Grievances with Gnome and Gnome apps is the most effective route toward improvement.
All that said, you can disable the software updater and gnome-software autostart and only run them when you want... But... would need to kill the process when finished. 