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.