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

Perhaps you could get your squad leader or next line NCO to walk you through the regs. You can do yourself and the rest of us by starting here: https://armypubs.army.mil/

No, Private.

NO! EVEN if you had an 11B mos and was assigned to a non infantry MOS during combat action, after 9/11 or before 9/11, wouldn't happen. 3 AR requirements are needed for awards of CIB.

Even the CIB for a time was awarded to units sorta a blanket award. I served with soldiers that were in the 82nd in Granada that carried supplies from a landing craft to shore, because they set foot on shore they were awarded a CIB. In the Nam we were issued orders for a CIB if we meet certain criteria. In country for 30 days (unless you are hit on day 2 or prior to the 30 days it would be awarded), engaged with the enemy and exchanged fire, 11B or any SF MOS. After my first significant battle with the NVA I was told that it might not get approved because we were in a RON (Rest Over Night) defensive position, but it was awarded along with a Bronze Star with V, it started out as a Silver Star but because I wasn’t wounded and not an officer it was downgraded.
So IMHO, NO, because when you are close enough to hear shots fired is not the same as having them coming in your direction.

Marines only issue a Combat Action Ribbon (CAR) for when you ave engaged in combat whether you are a POG or not. BUT then all Marines are riflemen/women.

No. It doesn’t. Still want to transfer to the infantry or nah?

No

First POG stand for Piece Of Garbage not Personnel Other Than Grunt as you youngsters seem to think. Personnel Other Than Grunt would be POTG not POG. That said No he was awarded a Combat Action Badge for being in Combat while holding an MOS that was not Combat Arms. To get a CIB he would have to hold an Infantry or another Combat Arms MOS. The Badge is based on Your MOS not what unit you are attached to.

Simply - No

Fuck no. Get that POG shit outta here. He or she has orders for a Combat Action Badge, not a Combat Infantry Badge. #STAYWOKE