I gank to another battlefield and they react to Ride the Wind a unit from their base to the BF I left to get a point. If I ready my unit and gank back over to take it again can I get a point even if I had a point from holding it before?

The Short Answer

No, you cannot score the battlefield again in the same turn.

The restriction that "a player may only Score... once per Battlefield per turn" (Rule 465) prevents you from scoring the same battlefield twice within a single turn, regardless of how you move or interact with that battlefield.

Sequence Breakdown

1. Initial Scoring: You held the battlefield at the start of your turn and received a point from Holding. You have now reached your limit for scoring on this battlefield for the current turn.
2. Ganking: Even if you use Ganking to move your unit to a different battlefield and then return, or if you win a showdown on that battlefield later in the turn, you are still bound by the restriction set at the beginning of your turn.
3. Restriction: Because you already Scored that battlefield earlier in this turn cycle, you are ineligible to score it again, even if you Conquer it following a successful showdown.

Important Nuances

• The "Turn" Definition: According to Rule 465 and FAQs #4853 and #8120, the "once per battlefield per turn" restriction applies to your entire turn cycle. Scoring on your turn prevents any further scoring on that specific battlefield until your next turn begins.
• Conquer vs. Hold: Whether you score via Hold or Conquer, both actions count toward your single scoring opportunity per battlefield per turn. Once one has been performed, the other is not possible until the turn restriction resets.

Note: I could not fully verify this ruling against the retrieved rules.