It's quite rare, but yes, it has happened with Hollywood movies. One example is Chaos (2005).
Chaos (2005)

Action, Crime, Drama
Director: Tony Giglio
Stars: Jason Statham, Ryan Phillippe, Wesley Snipes
Distributed by: Capitol Films, Lionsgate
Two cops, a rookie, and a grizzled vet, pursue an accomplished bank robber.
—Chaos (2005), IMDB

Crime, Horror, Thriller
Director: David DeFalco
Stars: Kevin Gage, Sage Stallone, Kelly K.C. Quann
Distributed by: Dominion Entertainment, Dinsdale Releasing
Two girls, looking to score some ecstasy at a rave, follow a young man to a house where terror awaits. There, a gang of felons captures and torment the girls, drawing them into a nightmare of violence.
—Chaos (2005), IMDB
The way Wikipedia disambiguates or distinguishes the two is by adding a distributor of the film in with the release date:
Incidentally, Wikipedia lists the Capitol film's release date as 2006, rather than 2005, based on a German release date. Looking at the release dates for this film, you can see that this movie has been released in '05, '06, '07, '08 (in USA and UK) and '09, yet IMDB considers it a 2005 release because it was first released in 2005 in the UAE, which technically makes this fit your criteria. Another piece of trivia: the Dominion film was first (August '05, versus Capitol's December '05).