Thanks for voting and commenting on this issue. As more and more of our customers look to move to JIRA Cloud, we are deeply interested in supporting your migration. Unfortunately, we have not been able to start working on project import between Jira Cloud sites yet, so it's not possible for us to project when this will be released.
Note that we have started on the request to Provide support for "Single Project" migration from Jira Server to Jira Cloud.
It's important to understand that we rarely try to implement individual features from jira.atlassian.com, but instead take a holistic look at the problem and use feedback from the comments here and a dozen other sources of customer input to solve the core problems.
Please don't hesitate to contact me if you have any questions or feedback.
Product Manager, Atlassian Cloud Migrations