I like to automate everything I can so that the tank is as stable as possible, and there's nothing different about a high tech tank that I think would make it more difficult to automate. So my answer to your question is yes, though with the caveat that I haven't actually kept a high tech tank while being out of town for most of every week.
Automating feeding, if you're OK using pellets and/or flakes, just means using one of those eheim auto-feeders from Amazon. The auto-feeder can feed the fish for up to six weeks at a stretch, and it has its own clock/timer. My tank's lights are on a hardware store timer, and the pressurized CO2 will be on the same timer once I get it set up. Water changes on the tank are a DIY ATO along with a submersible water pump on a timer (though I'm still building that system as well, it's not fully functional yet). Personally, I'm holding off on ferts because my tank is dirted and because I want to fix up a dosing system with a Arduino, which is a project I'm not quite up to tackling at the moment, but that'll obviously be automated, too.
I tried to do everything on a relatively tight budget, but still, the only maintenance that I have to do manually is refilling the WC reservoir (weekly, at this point), and periodically cleaning the filters (etc). Eventually I'll have to make sure to refill the CO2 tank and the fertilizer bottles. I don't count "fun" stuff like pruning, planting, trying out live foods, or even vacuuming the substrate, etc, as maintenance, because it doesn't really have to be done on any specific schedule and I basically do it as the mood takes me.
I think that the only issue you might have is that just having your eyes on the tank a lot can be helpful in terms of nipping problems in the bud. But if your gf is going to be in the house, that probably won't be such a problem (even if she's not into tanks, she's going to notice a bunch of dying fish or that the water is suddenly the wrong color or that the floor is getting flooded!). If she really doesn't want to deal with it or if you're still going to find yourself getting stressed, though, there are ways to monitor tanks remotely. I think there are quite a few Arduino projects that'll allow you to either literally see the tank remotely or track its stats remotely, and I'm sure there are ready-made tools you can buy as well. Honestly, the only things that I think could be really dangerous for the fish are if your CO2 goes nuts (which mostly means you should get a good regulator if you go that route, I think) or if your heater goes nuts (which means you should get one of those heater controllers to shut off power to the heater before it cooks your fish). Otherwise, since you're still going to be around the tank every week, nothing is likely to happen so fast that it'll get out of control before you miss it or require more frequent maintenance than you can give, I think.