The order of the artifacts go from left to right:
Skull, Goblet, Dagger, Tablet, Jewel, Sundial, Genie lamp, golden cow statue, puzzle box, drinking horn
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You do not have to get the jewels in any particular order, so the last of the 5 jewels could be any of them. (see the related question)
Yes but it would be very unlikely. It Isn't possible I dont think that you can win every game, its extremely unlikely. sometimes the cards arent in the right order and you can't win but assuming you we're to deal the cards in an order which all the cards are accessible at some point in the game then yes you can win it, but its a card game so its luck of the draw.
Pokemon Ruby Destiny Reign of Legends ,Pokemon Ruby Destiny Rescue Rangers, Pokemon Ruby Destiny Life of Guardians
You cannot trade with anyone in-game in order to trade your Machoke in order to evolve it into Machamp and then receive it back in a following trade however an option you do have is to use Wi-Fi Friend Code trading however you'll need to find someone online that you have complete trust in that is willing to help you with trading for your Machoke in order to evolve it into Machamp and then will be willing to trade it back to you. Additionally you can find someone locally that would be willing to trade with you in order to help you evolve your Machoke into Machamp and then trade it back to you.
consecutive order or chronological order