The fundamental problem here is that genes are only templates used by cells to make things. You can't write "blue walls" on your house plans and then have blue walls; you can't sketch some lines and have an extension spring up; you certainly can't scribble over something and have it disappear. You have to actually repaint or build or demolish these things as well.
Adding chemicals is easy
A lot of cells are constantly working, even to stay the same. Your entire outer layer of skin cells falls off every 2-4 weeks and your skin cells keep making more of themselves - using the template. So if you edit that template, you should see the results in several weeks at the most.
It's also possible that even with cells that don't do much, you just add a marker to the template that says "make this template anyway" and it does get made.
Scientists do this all the time with microbes. If you want bacteria to make some chemical, you inject DNA that says "hey, I'm an important template, build me" marker and then the chemical, and it starts making that chemical. That's how you get fluorescent bacteria and yeast that produce spider silk. And how some of the COVID-19 vaccines were made. You get bacteria with this extra useless (for them) chemical inside of them that they can't use; when you have enough, you dissolve them up and use some kind of purification process to take the chemical you wanted.
I don't think we do it on humans.
So if you want to make skin cells produce blubber, or melanin (carefully tuned to match the concentration in Morgan Freeman's own skin cells), that's entirely plausible. You'd need a marker that says "make this template if you're a skin cell" or else a way to make sure only the skin cells get the template.
Note that DNA only specifies proteins. Melanin is a protein, so it can be made directly. You just tell the cell to make melanin. Quite easy, if you're trained in this stuff. Blubber is fat, so it's substantially harder to tell the cell to make the proteins that assemble other molecules to make fat. I don't know whether we know all those proteins or not. There's a much higher chance of unintended side effects.
Anyway, it's entirely plausible that it will be happening in shady labs, with significant risks, in foreign countries with less regulations, in 2028. It won't be mainstream medicine by that time.
Whatever we do with the blubber, we could also do with the seal oil.
Signalling is hard
She wants to be as fertile as a naked mole rat. (Why? Childbirth is painful. But anyway...)
The hormones in different species are mostly different. This won't happen by taking some "fertility gene" from a naked mole rat and implanting it into a human. No, we have to understand what chemical signals make humans develop eggs and then invent a gene that makes those signals keep happening. Probably, the second half is just inserting a chemical into ovary cells, but the difficult part is understanding what chemical to insert. (A plumber whacks a pipe with a hammer and the problem goes away. He gives an itemized bill: \$1: hammer. \$19: travel time. \$230: knowing which pipe to whack)
Changing body parts is extremely hard
You didn't mention this one, but some people want additional arms instead of legs? That's definitely not happening.
If you want to do this to an embryo, there's some kind of chemical signal that tells each limb whether it's an arm or a leg. We don't know what it is, exactly, but it's there. If we find that signal and override it we can make embryos develop with 4 arms. But if you want to do this to an adult that doesn't work because they already grew the legs. You need to change the legs into arms, that's way way harder than just telling them to be arms in the first place. Probably the easiest way is to cut the legs off entirely, then give the stubs signals that tell them they are still a fetus and they need to grow new arms! Needless to say, that's pretty risky. And we have no idea how to do it yet. We still won't in 2028.
Hair follicles are body parts
Your character wants fur as thick as mountain gorilla. The problem is that she already has a certain number of hair follicles, and wants to grow more, a lot more. Like 1000x more. And a hair follicle is not just a single cell but an arrangement of parts; see Wikipedia.
Good luck with that. It may be possible to program skin cells so some of them turn into hair follicles - but it's absolutely not going to happen to 2028. And you couldn't do it with mechanical means (like cutting out the middle of a leg to make it shorter like an arm) because you'd have to do it zillions of times. Better to just wear a fursuit.
Hair isn't even made of cells, in case you were wondering.