Do focalin (dexmethylphenidate) and cocaine trigger the same positive urine drug test?

Unlikely. There are screening tests and there are definitive tests. The screening tests can have false positives and false negatives, but the definitive tests are about 99% accurate. Especially with cocaine, it is very unlikely to have a false positive, Focalin (dexmethylphenidate) is a form of methylphenidate (ritalin) and is more closely related to amphetamine than cocaine.
Focalin (dexmethylphenidate) cocaine. Focalin is dexmethylphenidate. It will not trigger the same positive urine drug test as cocaine.