Can a judgment that was entered 14 years ago from one state be honored or executed by a totally different state?

Two things: (1) In most states, judgments are subject to a statute of limitations and expre after a set number of years.  This is often between 5 and 8 years.  14 definitely exceeds that and is probably outside of most state's limitations periods.  That said, the judgment creditor could have renewed the judgment (meaning it has not expired).   (2) A judgment creditor can execute a judgment on a debtor in a different state but it takes more work.  They would have to record the judgment in the county where the debtor lives, then likely seek a deposition in aid of execution then obtain a writ of execution. 

In short, there are lots of obstacles to executing such a judgment, but it is still possible.