The straight answer is absolutely not. The reason being is that drug labs do not test for CBD. Drug labs test for THC, the psycho-active compound in Marijuana.
The issue is though, THC can be found in both CBD made from a hemp plant as well as CBD made from a marijuana plant. Therefore, you must be diligent in understanding the percent THC in any CBD product you are taking. The legal limit is .3% THC.
Also, it is remotely possible to fail a drug test for THC, even when taking hemp CBD with less than .3% THC. If you know you are scheduled to take a drug test, stop taking the CBD at least 10-15 days before the drug test.