Not really? The lines preceding this was Orion telling her that she's not supposed to be there as it's the real world, and not Eternum. She agrees to this, and also says it's the reason why he was going to die. In that context, "no coin, no reset" sounds more like he doesn't get second chances in real life unlike in Eternum where there's a lot of ways to survive and that he could deal with dying because it's his projection that dies, not him.
He never had a vision of Caly except a few that were shown with her in "weapon" form (that orb thingy that Idriel showed when she was doing that infodump about the weapons). His headaches of the Founder are less "visions" and seemingly more about the dead trying to warn him about him and telling him not to trust the guy.
Again, either they've witnessed it in person or they've seen every single possible future there is because they have foresight (or at least, they thought they did until Orion basically chose tails). Either could be true.
Part of me thinks it's cryptic symbolism of what will be (or what came before if you subscribe to the loop theory). There's a render there that shows Caly in "weapon" form similar to the Idriel infodump, yet when we bust her out we see she doesn't look like that. We see him bleeding with his powers activated while in a morgue, which could symbolize him surviving/reviving from his "death" with his powers (which he did technically). Now that I think about it, Caly being in those renders could also symbolize that his survival/revival was going to involve her.
Would be funny tho if this is the reason why Idriel thinks it's pointless to tell Orion shit, because most of what they see are cryptic bullshit to any normal person, and only someone versed in interpreting said visions would understand what they mean. Couple that with Orion not remembering his dreams, and it truly would be totally pointless.
I don't think she can do that. The infodump on Limbo makes it sound more like she is (or they are, if the Syndicate also happens to be there) in a unique position to view past, present, and future. Being able to project herself (or themselves) from there to everywhere, anywhere, all at once could also explain how she (or they) could seemingly pop in and out during convenient moments in the story, and why she (and/or the Syndicate) have some sort of prescience on events that would yet come to pass.