Can Celonis extract source/data from JIRA project and Sharepoint list?

Yes Celonis has a JIRA connector(https://docs.celonis.com/en/jira-connection.html) & Microsoft SharePoint Connection (https://docs.celonis.com/en/microsoft-sharepoint-connection.html)

Can the user upload the data and then store it in daily files in the folder?

Not sure what you mean by that, you can upload files in Celonis (https://docs.celonis.com/en/file-uploads.html), you can also automate this process by using Action Flows

Can Celonis send out an email with snapshot of graph or status?

Short answer Yes, this is a category that has multiple point to be covered however you can start with the following

Send Report

(https://docs.celonis.com/en/send-pdf-report-via-mail.html)