No, it is not possible to get a session cookie in Kratos given a session token. According to the [Ory Kratos documentation](https://www.ory.sh/docs/kratos/session-management/overview), for security reasons, you can't break the isolation between cookies and session tokens. Session cookies are issued when the user signs in through the browser-based login flow, while session tokens are issued when the interaction is performed by a client other than a web browser, for example, a native mobile app. Each of these session identifiers serves a specific purpose and cannot be interchanged.