I suppose it could happen.
the force is an energy field created by all living things. life sustains it, makes it grow. luminous beings, etc etc. this means: when a jedi reaches out into the force for strength, he borrows a bit of strength from 'all living things', and this allows him to move mountains. or Xwings. --> if anakin's connection to padme overruled his connection to "all living things" then I suppose that anakin would be borrowing his strength from padme. necessarily then, this would need to be the reason why Jedi are not allowed to fall in love. because when a jedi falls in love, then that person is doomed. the jedi will sap her strength, unconsciously. and if THIS is the case.. then why didn't anybody TELL anakin this when he was growing up? instead they just have this rule in place, "don't fall in love, because [SECRET]". that doesn't really make much sense. also, I think we would need to see it, in anakin's relationship to Shmi. his bond of love started with his mother and was transferred onto padme via adolescent creepiness. one would expect then, that anakin was unconsciously sapping force-energy from shmi -- the more he thrived as a jedi, the weaker she would get.. until she dies in a tusken camp. I suppose, when a mother is willing to accept slavery to give her child a better existence, then she IS giving of herself to bolster his life-as-a-Jedi. but.. c'mon. that's a bit of a stretch. I think we would need to see something more explicit to establish the link between "jedi attachment" and "draining of life-force".
I guess the scene where anakin looks out across the city scape and shares a tear with padme from her apartment balcony (right before he confronts Mace in Palpatin'e office) could be seen as establishing a link between anakin and padme -- they're like the corsican twins -- when one feels pain, then the other feels it too -- this makes him stronger and gives him the resolve to go kill windu... while padme sobs in pain. so this might (kind of) establish that they share a psychic force-bond(?), that she shares his pain, and this makes him stronger (while making her weaker)... to the point where, when anakin is in mortal danger, then he unconsciously saps the life right out of her in order to survive himself.
(I suppose it could happen).
I'm just not convinced. like I said, you'd think somebody would have told anakin as a child : a jedi can never form attachments, and here's why: it places the person in mortal danger!! Or: a jedi must be removed from his parents as an infant, and here's why: because jedi's can't have attachments! it places the parents in mortal danger!! (it just seems to me that IF this was the crux of the entire plot, then somebody would have mentioned it, somewhere, you know.. in the plot. it's hard to imagine that the central plot of the entire thing wasn't EVEN included as a "plot point" by the author).