From the SFAM Wikipedia article: "The final version of the story became a concept album, dealing with the story of a man named Nicholas and the discovery of his past life, which involves love, murder and infidelity as Victoria Page, and as such was heavily inspired by the 1991 film Dead Again, more so than the original 'Metropolis—Part I'."
The sources cited for this inspiration are two reviews and a fan club site, and I don't know if Petrucci has ever commented on this, but I believe the connection has been well-known for a long time.