No. A DOT drug screen tests for 1) Marijuana, 2) Amphetamines, 3) Opiates, 4) Cocaine, and 5) PCP. Suboxone does not show up as an opiate and is not tested for.
Suboxone tests are like $300 and are only used in certain circumstances...they do not test for this unless you're suspected of using it. Sub is not an opiate. It's actually an opiate blocker and can help you to get off opiates altogether.