Given our overall density, we would need enormous wings and musculature. Consider that the heaviest flying birds alive today weigh maybe 40lbs and have a wingspan of 8ft or so. If we naively extrapolate that linearly then an adult weighing 160lbs would need a 32ft wingspan.
There were flying pterosaurs that weighed much more than the heaviest flying birds today, but they were also the size of small planes and it’s a bit of a debate how well they even flew. They may have struggled to even take flight.
So injecting yourself with some designer DNA isn’t just going to make you grow wings, it would have to completely transform you into a completely different creature, simply due to the physics of flight.
Additionally, you need not only to be able to fly, but your body needs to function well enough to stay in this new state. You would also likely need an enormous caloric intake to support the massive new growth, or it would take a very, very long time.
It wouldn’t be designing wings for a human, it would be designing a be creature based on a human but not human at all, really. Call me shortsighted but I don’t really see how that will ever be possible.