It is physically possible, but not socially or politically possible.
The people you breed will have to be slaves, otherwise you cannot exercise control over their reproduction. Small problem, slavery is illegal. No big whoop, you’re the emperor, you just reinstate slavery, done and done. So you happily proceed with your breeding program. You select specimens that have the physical characteristics you want, you breed them to each other, the resulting generation expresses those traits even more strongly, you breed those that exhibit the traits most strongly to each other again, and so on. Standard stockbreeding technique, it will work on humans just like on any other animal if you can control their reproduction.
OK, but the problem is that human generation times are what we scientists call very long. You’ve got a 15 year minimum generation time, and each breeding is likely to produce only one offspring. Since you will try to breed your prize specimens more than once, average generation time is going to be more than 15 years. So realistically, you’re only going to have 4 or 5 generations of breeding before you die. And die you will, you’re the emperor, but you’re not immortal. No problem, your successor will continue your breeding program. Or not. Wait, actually they probably won’t, once you’re dead the breeding program will likely be abandoned.
And that’s the rub. There doesn’t seem to be any way to perpetuate a multigenerational breeding scheme because the people who start the breeding scheme won’t be around more than one generation themselves. With livestock that’s not a problem, because livestock generations are shorter, but also because the desired traits are likely to be desired by subsequent generations. All dairy farmers want cows that produce more milk, all poultry farmers want chickens that produce more eggs, all pig farmers want pigs that gain weight more quickly. And so formal breeding programs that span multiple human generations are possible. Of course, for most of human history selective breeding hasn’t been so formal…but farmers have always culled and eaten undesirable animals and bred the most desireable animals. Keep this up for a few thousand years and you’re going to get somewhere.
But how is that going to work for humans? The only way it will work is if there were a multigenerational consensus on what human traits were desireable, and a conscious decision to preserve those traits. And it seems that smart, healthy, beautiful people are more likely to selected as breeding partners than stupid, sickly ugly people. So there you go, human breeding programs.