If a POG, awarded with a CAB (combat action badge), were to transfer to Infantry, would the soldier be authorized to wear the CIB?

No, they are two entirely different awards.
Awards don't convert to a different award, even if they serve a similar "title".
The CAB can be worn when the servicemember reclassifies to 11B, but I'd suggest not saying your CAB is the same thing as a CIB while in the Infantry community, it's a topic that the 11B is passionate about due to the historics of why the CAB award was created.

YMMV

Chris sends

The SM has to be assigned to an Infantry position. We had a RACO unit from Arizona with which we RIP/TOA'd with in Iraq 2004 on LSA Anaconda. They were Infantry guys but in non-infantry slots. They went to UR (of the Caldians(sp) for you historians) and they stated that they took and returned fire as Infantrymen....thus awarding themselves the CIB. When they returned to the States, they were stripped of them and were the Theater laughing-stocks.

No! CAB is nothing like a CIB, smelling the shyt and being in the shyt is two different things

My unit in Iraq was a conglomeration of people from different units & MOSs. We were combat arms converted to combat MPs. Many of our people were infantry, tankers, & even medics. We all got CABs. We were not in an infantry role. Our medics did medical work under fire. No CMB for them. Our grunts got no CIBs. Unless regs have changed, the duty MOS determines what badge one gets.

Who ever asked this question is a pog… ABSOLUTELY NOT

I'm so glad to see everyone piling on the stupid nickname. Here's a hint: if they have a CAB, they aren't a POG. And since everyone is eligible for it, there are no POGs.

No, the CAB is NOT a CIB. They are different awards with different requirements. AR600-8-22 will have all the details. Remember, the requirements must be met at the time the award is presented.

No.

No, in order for you to get a CIB you have to hold the MOS or be MOSQ (kinda the same thing) while under hostile fire in a hostile area and return fire. we had a few 19K in our rotation 22-23 who was awarded CAB while in an infantry unit.

Listen closely, if you consider any non-combat arms service or service-members "POGs" then you young Soldier are a problem, the type of problem Sergeant's Major love to correct.