Nope (or, at least, not yet).
Artists are people that challenge, change or otherwise alter a person's perceptions and influence their way of thinking through their creation. Their Art reflects and extends into the real world in a physical way through the people who experience their work. They create Art.
Entertainers deal in blind escapism where you escape from your reality, learning nothing about yourself or your views. It neither reflects nor comments on your world, but seeks to create its own. They create Entertainment.
This is the criteria with which we judge all Arts (literature, poetry, film, paintings, etc, etc). You're either a great piece of fluff, or a great piece of Art (or a terrible piece of garbage). Video games are a different breed altogether.
By definition alone, all video games are escapist entertainment, so there's no room for the Art argument to come into play. You'll learn no great truths playing a
Final Fantasy or
Sonic, but hopefully you'll have a lot of fun.
Super Mario Bros. 3 is generally considered to a be a work of Video game art, not because of its challenging ideas or insight into the human condition, but because it plays perfectly, the level design is amazing and its so insanely addicting you'll keep playing it long after your thumbs have turned into bloody nubs. You're
escaping your world to romp around in Bowser's.
Now, the format itself is not without hope of ever reaching that "Art" title, but it's highly doubtful it ever will for a couple of reasons:
1. They're toys, essentially, and have been from the start. Do you hear people asking if "Monopoly" is a work of board game art? No? Maybe because it sounds as stupid as "
Super Mario Bros. 3 is a work of video game art" does to non-nerds.
2. It's HARD to make a video game from scratch, and to do it yourself and do it well you need to have a multitude of skills, many of which are as far apart from each other as possible. Most works of Art are from a singular vision, not from teams.
3. Video games are completely, 100% run by corporations who have one thing in mind: money. Name one piece of artwork that can truly be called ART that was made solely to make a buck. I'll wait...
4. Those same corporations want to sell these games, which means they have to always work towards the lowest common denominator. Art is created when the artist looks inside his or herself and wants to express something. Video games are created the opposite way: Looking at which way the market is swinging, and trying to aim for what the consumer will want.
So, no, video games are not Art, and the way it's looking, it's not going to be for a loooooooong time.