If you needed to, you could always build an API integration (the User Update API lets you reset passwords, or you could initiate a Change Password Request) into your application for a specific user.

The JWT TTL can be configured per application, so if you were using a different application for OIDC vs an API - then you could do it.

But if you don't want to use multiple applications, then it is not possible, at least currently.

I could see a use case for asking for a JWT with a TTL equal to or less than the configuration and that request being honored, that could be a feature request. But as of right now, the only option is different applications.

It means the user won't be able to login.

Yes, a refresh token has a configured time to live (TTL). It can be configured at the Tenant or Application level.
More here: https://fusionauth.io/docs/v1/tech/core-concepts/tenants#jwt