King Toad weapons?
You could technically still make them if you happened to already have the materials needed to do so from SAB. But I’m assuming you probably don’t, so no. You can only get the components needed to forge King Toad weapons by playing SAB Tribulation Mode, and SAB in general isn’t active right now.
As for other Green weapons, there’s not really a whole lot of options there, its one of the rarer colors. You could look into the Dragon’s Jade weapons, but they’re somewhat expensive skins to buy (though not quite on the levels of some of the really insane skins). There’s the Priory weapons as another alternative. And the Ascended weapons with Toughness primary stats. And I suppose if you’re just looking for “partial green” you could have a look at the plant based weapons like Warden and Verdant. None of those have any fancy particle effects like the King Toad weapons (or the green spinal blades) do, though.
You get the King Toad weapons from SAB, which is currently closed. So no, at the moment it’s impossible to get them. Maybe you have another chance in the future.
Many of the priory weapon skins also have a green colour, made out of some kind of green glassy material. They have a pretty interesting aesthetic in my opinion.
I think I read somewhere that the SAB will be back sometime in the future, but no idea when. I’m in the same boat as you, I fancy the King Toad GS.