As someone who has dealt with insomnia and anxiety disorder in the past, the answer to that is, no. If green tea cured anxiety you'd know by now and all of Asia would be anxiety free.
Insomniacs will usually do the reverse, they'll say manically monitor every bit of caffeine they consume, yet when you read studies, giving people 400 mg of caffeine (~4 cups of coffee) delays sleep by 30 minutes or so. That's not why you lay awake hours, likewise nothing you get over the counter fixes your anxiety.
These things are crutches and attachments people take (or avoid) to try to control anxiety, which makes it worse. The solution to this isn't turning yourself into a laboratory, which is very common behavior.