No, they don’t.
Via Washington Examiner:
Do people around the world have a right to move to the United States? It’s a bedrock belief of most conservatives that there is no such right. The U.S. sets its own immigration policy, admits whom it chooses, and foreign nationals in foreign countries have no right — a claim that could be pursued in court — to enter the United States.
Now, Hillary Clinton says there is such a right, at least if a tweet from her campaign headquarters can be taken for a policy pronouncement.
This is what happened. In his Monday speech on terrorism and immigration, Donald Trump said, “We want people to come into our country, but they have to come in legally, through a process… No one has a right to immigrate to this country. It is the job of a responsible government to admit only those who expect to succeed and flourish here and really be proud of what they’ve done and where they came from. They have to love our country.”
In that quote was the fundamental principle: There is no right to immigrate to the United States. […]
On Monday, the Clinton Ohio campaign tweeted Mohamed G.’s picture with Trump’s quote, “No one has the right to immigrate to this country.” The campaign added the comment: “We disagree.”
The same day, the main Hillary Clinton campaign twitter account, @HillaryClinton, retweeted the “We disagree” tweet.