Every State controls elections witin that state as a matter of law.
Some states have recall legislation in place. Others do not.
in Utah there is a recall bill pending in the Legislature.
If the Utah Bill passes into law, Pierre Delecto may be recalled.
Federal officeholders -- senators and congressmen -- cannot be recalled. This issue has been litigated both in federal court (Frank Church, Idaho, 1967) and state court (Robert Menendez, New Jersey 2013).
Although Justice Clarence Thomas believes that states should have the right of recall under the 10th Amendment, getting four other justices to agree with him will be a high hill to climb, especially considering the case law already on the books.
A state law cannot recall a US Senator that the US Senate has seated.