I've seen both animes and read the manga. To answer your question, technically, no it can't, since the movie takes place after Al remembers seeing the gate and is able to transmute without a circle. That never happens in the 2003 anime, so it wouldn't make sense. It also references the proper (Brotherhood/manga version) of the Gate, as well as the other counties in the FMA world besides Amestris, which are never mentioned in the first anime.
But the movie is a stand-alone one, and while it's meant to fit into the Brotherhood/manga timeline, it doesn't really reference it much.
I'm pretty sure we figured out when the movie took place closer to the release, but I don't remember well. I can give you an estimate though. In the manga, Ed gets different outfits for each arc. He's wearing his outfit from the arc where he visits Izumi, and since Al can transmute without a circle it takes place soon after that part in the story. Since there was a lot of stuff going on with Wrath in the 2003 anime, there wouldn't really be time for the movie to happen in that continuity.
Just realized that your question was from a few years ago, but if you see this, I hope it helped!
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