It depends
Vicodin contains hydrocodone, a semi-synthetic opiate.
A standard 5 panel drug screen tests for opiates, but hydrocodone will not show up as an opiate.
The FAA (DOT) drug test is this type.
However, more places are now testing for hydro- and oxycodone due to prescription drug abuse.
If you have a valid prescription, then it is not reported as a positive test (the medical review officer will verify.)
As an aside, hydrocodone can generally be detected in urine 3-4 days after use.