Does it state ANYWHERE in the Bible that pets can or can not go to heaven? I've heard it both ways , but can't seem to find it.  Some have told me dogs have no soul so they can't go, but I am sure my dog feels guilt when he steals food from the cat.  Is that not a sign of a soul?  

I understand that the question of whether or not they do go to heaven has been addressed in Do animals go to heaven/hell? but this is a different question.  The answers there deal don't directly state whether or not there is a direct Biblical statement on this.

Can anyone tell me, all personal interpretation or doctrinal extrapolation aside, is there any clear, unambiguous, direct statement in Scripture that tells whether or not animals/pets can go to heaven?
"...is there any clear, unambiguous, direct statement in Scripture that tells whether or not animals/pets can go to heaven?"

No. The topic isn't addressed in scripture anywhere.