My first instict told me to answer this question with a " no ." But, that's with the fact that I don't believe in the four horsemen. Truthfully, if they do exist, you probably would have a hard time summoning them, and I doubt you would be able to bind them.
If you genuinely believe that you can destory the four horsemen, I would be very concerned about you.
For a start the horsemen are a belief , they are not proven to be real, it is also a little bit of a push to believe that a single horseman controls all of death and all of disease.
Life cannot be all good, or all bad, there is a balance, even if you could destory one of the horsemen, which I find highly unlikely/unbelievable, do you really think you would help the world? or just help destroy the balance?
By getting rid of the four horseman, we can use death for example, you get rid of death and the effect he has on the world, that leads to eternal life and totally throws away the point of needing most doctors because even if you get sick you won't die, you will simply just suffer and then live on. The balances are put in place for a reason whether we like it or not and the only way to deal with it is accept it and move on
Who the 4 Horsemen are, differ slightly depending on your source of information, so as mentioned before this is a matter of contradicting beliefs.
I'm not an expert in the bible but if you examine most translations of the bible, the 4 Horsemen are sealed in a scroll given by God to Jesus when Jesus rose to Heaven. The 4 Horsemen only appear when the first 4 of the 7 seals are broken and can only be broken by Jesus Christ. After the seal was broken the voice of an angel called each of the Horsemen to come forth. Earlier it was mentioned that the seals of the scrolls will only be opened on Earth when the days of the end comes.
It seems only Jesus Christ and by the voice of an angel can the 4 Horsemen be summoned, and are they not binded already within a scroll?
It seems from most translations of the bible, no you cannot summon or bind the 4 Horsemen.
Now if the 4 Horsemen were able to be summoned, they do not control what their names describe, they only represent War, Famine, Plague and Death. They do not control it but more so brings it during the apocalypse and causes it kill the population of people in the World. So there is not point in summoning them to bind to end War, Famine, Plague or Death because those will still exist.
According to the Book of Revelation, the four Horsemen appear as a harbinger of Apocalypse and they come at Jehovah's behest. They are also symbolic not literal. So I suppose summoning the forces of War, Disease, Death and Michael the Archangel would be impossible, beyond human power and almost certainly kill us all. Unless that's the desired effect?