I would think it's unlikely due to the fact that the WWE really isn't doing anything to put up barriers to someone entering the business. They just happened to be the only one people are going to see at this point, but since there's hundreds of wrestling promotions active right now, it's obvious they're not stopping people from entering the market.
Also, I think the market WWE is in would end up being more broadly classified as "entertainment", rather than simply professional wrestling, thus their competition is other entertainment, or perhaps tv providers, which obviously they are not the only ones of.
How's your new love?/I hope he's doin' fine/Heard you told him that you'd love him 'till the end of time/Now, that's the same thing/the same thing you told me seems like just the other day/Gee ain't it funny, funny how time slips away? - Willie Nelson tells the truth.
"I thought it was cool how HHH just tossed Jericho out of the ring and made him vanish, possibly into another dimension, at the end of the match." - Dr. Unlikely says the funniest thing I've ever read on Wienerville