On my turn, can I give Vi Destructive +10 Might if I recycle 10 from my trash?

Yes, you can give Vi, Destructive +10 Might in a single turn, provided you have at least 10 cards in your trash to recycle.

According to RiftJudge FAQ #642 and FAQ #7244, Vi's ability can be activated multiple times per turn as long as you can pay the cost (recycling one card from your trash) and you are at base speed (on your turn, with no chain open).

How to perform this sequence:

1. Ensure Neutral Open State: You must be on your turn, and there must be no active chain or showdown.
2. Activate Ability: You activate Vi's ability by choosing to recycle 1 card from your trash. This places the ability on the chain.
3. Opponent Opportunity: Your opponent has the opportunity to play reactions to this activation.
4. Resolution: Once the chain resolves, Vi gains +1 Might.
5. Repeat: Because this is an activated ability and not a triggered one, you may repeat this process one activation at a time until you have recycled 10 cards, granting Vi a total of +10 Might.

Important Nuances:

• One at a time: You must pay the cost and resolve each activation individually. You cannot recycle 10 cards simultaneously.
• Opponent Interaction: Your opponent can play reactions between each of your activations.
• Cost Requirement: Per Rule 403.3, you must be able to pay the cost for each activation. If you run out of cards in your trash, you cannot activate the ability further.
• Duration: Per FAQ #7428, this Might boost only lasts until the end of the turn.