Can I charm an enemy to my battlefield where I have a unit then use Ride the Wind to go to the other battlefield?

Yes, you can perform this sequence of plays. Here is how it works under the game rules:

Sequence of Play

1. Play Charm: You play Charm from your hand while the state is OPEN. You target an enemy unit at a battlefield you do not control and move it to a battlefield you currently occupy.
2. Trigger Showdown: Moving the enemy unit to your battlefield forces a Showdown because units controlled by different players are now present at the same location (Rule 446).
3. Use Ride the Wind: Once Charm resolves and the state returns to OPEN (or if you have focus during the ensuing Showdown), you can play Ride the Wind. You target a friendly unit at your current battlefield and move it to the other battlefield.

Important Rules Clarifications

• Movement Restrictions: Per the RiftJudge FAQs for both Charm and Ride the Wind (FAQs #1188, #2933, #9843, #7631), these card effects are not restricted by the "Ganking" rules that apply to Standard Moves. They are permitted to move units between battlefields freely.
• Showdown Timing: Per the <showdown_flow> guidelines, once the enemy unit arrives, a Showdown is initiated. Since Ride the Wind is an [Action] card (and can be played in Showdowns), you can use it once you have the focus, or if you choose to play it before the Showdown fully locks in (depending on who has priority).
• Control: Moving the enemy unit onto your battlefield makes it contested. As long as you have a unit there, you remain the defender (or attacker, depending on who moved) until the showdown resolves, but you are free to use your movement spells to relocate your own units as you described.

This is a legal maneuver that allows you to reposition your forces while using Charm to disrupt your opponent's board state.