Yes it's definitely possible to get it under 1,400kg, depends on how much you want to spend and what you're willing to do (and live with) to your car.
There's a few of us looking into this. Here's the latest estimate/planning worksheet I have which includes just about everything that's been discussed without gutting the car. This does not include carbon fiber body panels.
View attachment 37781
The above list also does not include an engine tune of any kind. The power increase (425) is an estimate based on known claims by Aerie and Eventuri for their products. They don't simply add up together though. Aerie is claiming a gain of somewhere around 20 hp (yet to be verified on an Emira with a dyno chart), and Eventuri is known to add a verified 10-15 hp for their installs on other cars. We don't have the final production numbers yet for Eventuri's intake, so I'm guessing low to be conservative. Let's say between the two products, they add 25 hp; that gives you a power to weight ratio of approximately 7.23 which is pretty decent.
All the above values by the way are assuming a V6 FE with manual.
Getting the weight down to 1,300 kg would be very expensive, and unless you're going for a fairly serious track build, not worth it in my opinion. You're looking at a lot of carbon fiber, both body panels and probably brakes. The cost of that would be double to triple the above list, and at that point, you don't really have a comfortable daily drivable car anymore.
Depending on how hardcore you want to go, you can do the above in stages, and evaluate if you want to do more as you go along. This should be a fun car to mod.