Not in the near future
Enter in the home console market requires huge investiments, in terms of hardwere software tecnology and specialized personnel, I don't think that there's a company who is able to efford this right now, not to mention that Microsoft,Sony,Nintendo are all well known to the public and also they could use agressive commercial politics to push out the new entry competitor.
Only Apple maybe could maybe try to enter tin the market, but it would cost them a lot and also it would very unlikely for them to succed, it's more profitable for them to continue with their own business.
Maybe also an ipotetic merger beetween EA and Ubisoft or Activion whould be strong enogh, in terms of software offer, to make a new console, but I don't see the reason to do that, since they make more profit with multiplatform games.