You cannot upload any type executable program files which are what is taking up space on your computer's hard drive. The TurboTax documents and tax data files are only about 3Mb or less each.
TurboTax has a feature called My Docs where you can upload documents to store online. However you have to use one of the paid TurboTax online editions to get access to My Docs.
See this TurboTax support FAQ for My Docs - https://ttlc.intuit.com/turbotax-support/en-us/help-article/small-business-processes/docstm/L0VlCWX5...
See this TurboTax support FAQ for how to upload documents to My Docs - https://ttlc.intuit.com/turbotax-support/en-us/help-article/import-export-data-files/upload-document...
