Is it possible to take the app name again after the app got deleted from iTunes-connect?

No, once and App has been deleted, either by you or because of the expiration process, you cannot reuse your SKU or app name in the same account again. It can be used, though, by another developer.

Under the Deleting an App section of the iTunes Connect Developer Guide you'll learn more about the ramifications of an App Deletion.

Apple will not allow to create a new app with the same name that you have created and deleted earlier.

You can refer what Apple Developer site is telling about this issue.

You will be able to re-upload the app under the same name by choosing a different default language after deleting it. This might as well be a bug in iTunes Connect though and I wouldn't be surprised if they were to fix it some day.

To be safe, simply update your app with the new version - even an entirely new project.