I'm not sure I understood your question correctly.
If you mean running a Docker container in Lambda, that is to may knowledge to possible.
You could schedule Docker tasks in AWS ECS (their managed container service) but it's not meant for anything realtime and more for cron job type tasks.
If you mean emulating the Lambda environment in Docker, then I wrote an answer with the difficulties of doing that below to another user.
If you mean running a Docker container in Lambda, that is to may knowledge to possible. You could schedule Docker tasks in AWS ECS (their managed container service) but it's not meant for anything realtime and more for cron job type tasks.
If you mean emulating the Lambda environment in Docker, then I wrote an answer with the difficulties of doing that below to another user.