No, Wrapped doesn't currently offer a Segment integration, and there's no Segment option at Settings › Integrations and API keys. You can still send Wrapped gift card events to Segment, or another customer data platform, with Zapier or with webhooks from the Wrapped API.
Option 1: Zapier (no code)
Use a Wrapped trigger in Zapier and an action that sends the data to Segment or to the tool you use. Wrapped sends Zapier an event when a gift card is issued or its balance changes, and when a card is gifted, reminded, voided or expires. Each event includes the card's code, balance, currency, status, recipient and buyer details. See Zapier integration.
Option 2: Webhooks from the Wrapped API (for developers)
A developer can register a webhook with the Wrapped API. Wrapped posts a JSON payload to your server for each gift card event, signed so you can check it came from Wrapped, and your code can forward it to Segment as a track event. See The Wrapped API.
Both options need the Pro plan or above.
Common questions
Can I get historic gift card data into my analytics tools?
Events only cover changes from when you set them up. For history, export reports to CSV, or have a developer page through your gift cards with the Wrapped API. See Export a report to CSV.
Does sending events use my gift card allowance?
No. Only creating gift cards counts toward your allowance.