Oh, a 590? My mistake, thought we were discussing a 500.
If you have this gun - the only lefty 590 listing I could find, with 9-round capacity -
https://www.mossberg.com/product/590a1-9-shot-left-handed-59815/
Then you can't make the barrel any shorter than the magazine tube. It's not going to be possible to shorten your exact shotgun's barrel for that reason, though you could shorten the barrel of another lefthanded Mossberg with a shorter magazine tube, such as this one:
http://www.mossberg.com/product/500-left-handed-tactical-59817/
That being said, you'd have to measure and see how much of that 18.5" barrel is in front of the band attaching the barrel to magazine tube. It may only be 3" or so, in which case you wouldn't be shortening the barrel to exactly 14". As you can see, a LH SBS is possible, but it'll take some work. The good news it that the work on the 500 shown would cost only about $100, depending on the gunsmith and the replacement front sight you choose.