Today I saw a chaplain with a long tab and a combat action badge. Is there a scenario where this is possible?

I had a chaplain in my unit that had prior service as an enlisted man in Viet Nam before attending a seminar and then being commissioned as a chaplain in the Army.

Many people f the TRADOC schools use a similar patch design, the diamond shape a torch and somethings else.

It is possible to have the CAB and the Cross

Did you go ask him. Most of the time someone will tell you there story, all's you have to do is ask.

I know a Chaplain who was enlisted Infantry and then became a Chaplain. He not only holds a CIB, but a TUS Badge. Very possible!

If I'm not mistaken there are 8 Chaplains with an MOH. I see no problem with it.