No, you cannot (yet), and there will be no reason for them to do this. The reason is that as soon as you close the tab, some critical information is lost because it is in the memory of the Javascript virtual machine that launches the page.
Any update sent by the kernel after you close the page is lost. For example, try the following.
- create cell with
sleep(10);print('Hello') - Run cell
- Quickly close and reopen the tab.
- Hello will never be printed.
The mapping between the Request for Execution and the Response to Execution has been lost and cannot be restored.
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