In a "Two on Two" play, can I give my gold to my partner?

Is there some ground rules to what's permitted and what's not?

There's nothing in the rules that allows you to give gold to another player unless you are playing the Littlefinger variant.
Two on Two rules from the Core rulebook:

“Two on Two” play is played with two teams of two players each, with partners sitting across from one another. The first team to score 30 power, in any combination, wins the game. In other words, if one player collects 28 power, and that player’s partner collects 2, that team wins the game.
For the purpose of resolving card effects, the other player on your team is considered your partner, but not your opponent. Any card that refers to “you” only affects you, any card that affects “an opponent” or “all opponents” can only affect the players on the other team, and any card that affects “all players” affects you, your partner, and your opponents.
You cannot, for any reason, initiate a challenge against your partner.
Two on two play does not use the multiplayer title cards.