Just to warn you, networking is ultra-boring. Do you think software engineering is bad? Networking is worse. You don't really make everything - you spend most of your time trying to get configurations to work, working around bugs in firmware, or figuring out how some numbskull screwed up the various configs.
It is, basically, plumbing.
That's not to say it isn't important, but if you're actually good at software engineering you'll probably find networking ultra-tedious. Do you really want to learn the ins and outs of the OSI stack? All the weird things about hooking Cisco gear to other gear? Troubleshooting connectivity issues due to someone plugging a switch into itself?
Just writing about it makes me want to lobotomize myself.