Al.com:

Alabama’s election handbook spells out several offices that are not included in state laws for contesting elections: lieutenant governor, U.S. senator, and U.S. representative.

There are other provisions, however, that indicate a candidate or political party could request a recount,

“It’s our contention the votes can be recounted,” John Bennett, Deputy Chief of Staff for the Secretary of State’s office told AL.com. “We contend that authority is there.”