I believe the creation date won’t carry over. However, when you change remotes and push to the new repository, it will retain the entire commit history, including the first commit.
For that, you need to properly clone, change the remote, and push.
git clone --mirror <bitbucket-repo-url>
cd <repo-name>
git remote set-url origin <github-repo-url>
git push --mirror
If the repository creation date is the "date creation" you are talking about, it is related to the hosting provider. So that cannot be modified.
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