You can play any Ys game in any order you want. Seriously. It's up to you. I understand OCD, and I do know how people will obsess over the seemingly tiniest things, like playing game series "in order", and I'm not trying to be dismissive of those folk, but, honestly, feel free to play the Ys games (or any other game series, for that matter) in whatever order you choose, even skipping games in the series that don't feel interesting to you.
As for Ys, specifically, it's a series that has been released out of order in itself, especially since Nihon Falcom started revising earlier titles with Oath in Felghana. Even Ys VIII takes place right after Ys IV (Memories of Celceta) and before Ys V (which, by the way, is the only title, to this day, to not have an official Western release/localization, so you're either fluent in Japanese or you resort to piracy and use the unofficial translated SNES/Super Famicom ROM, if you *really* care about playing the whole series in "order"). Ys is a series that has been made, from the very beginning, as something you can pick up, play and enjoy with no previous knowledge of the lore or the world/character building (mind you, all of these ARE in the Ys games), mostly because each title is pretty much self-contained, and despite a few references to previous games, they tell their own story and you can piece whatever timeline you want after playing each game, even if you do so out of order. The only exception to this formula, as you may have noticed by now, are Ys I & II, which have been included in various bundles ever since 1989, when the first Ys I & II was released in Japan -- in fact, the version GOG sells is a remake of that same bundle, the newest one there is, Ys I & II Chronicles+ --, and it's the only "two" titles you should actually treat as a single one. Everything else can definitely be played "out of order" and you won't be missing out on anything, really.
As for wanting to play Origin first, well, it's your prerogative. Personally, I'm of the opinion prequels don't make sense when you play them before the games they came *after* (release-wise), because you'll be missing out on A LOT of references and lore you won't be able to get, since when they made prequels they expected players to be somewhat familiar with the series, already. Still, this being Ys, and if you really care about the timeline in such a strict manner and still want to play it first, you absolutely can. The Ys games have a reputation for being ultra hard (which they are), but all of them have Easy -- and, in some cases, Very Easy -- modes that I wholeheartedly recommend to newcomers. Don't get discouraged by the games being extremely difficult, because you can play them on Easy and still enjoy the story, the soundtrack and the (stellar) gameplay.