Yes. Helium 10's tools give you the ability, depending on the specific tool, to export your search results to a CSV or Excel file, or to another Helium 10 tool, or to save it within the tool itself. Scribbles also lets you import your work to your Amazon listing (see image below).
Along with the ability to see some previous search results and work, many tools include an EXPORT and/or SAVE button at the top menu.
Also, inside many of the tools' individual sections, you can download specific types of reports or graphics. Click on the icon that looks like three stacked lines, called a hamburger in coding jargon, to see the options.