NO EFFING WAY
If things are that bad, Congress can Legislate changes to Immigration Law if they are needed.
If they entered the US illegally, they've already acted in bad faith.
If they overstayed their visa, they've already acted in bad faith.
If they filed a request for asylum after they entered the US on a visa, they've already acted in bad faith.
NO MAS
America is not the United Nations' flop house.
If things in Central America are that bad, make the State Department do their damned job and attempt to use diplomacy to resolve the situation.