Yes, you can save all attachments from several emails at once by using VBA scripting. To get VBA code check this link: https://gallery.technet.microsoft.com/office/Save-attachments-from-5b6bf54b
If you are not familiar with the VBA Macro codes, then try a third party Outlook Attachment extractor tool. Nowadays many tools are available for saving attachments like SysTools Outlook Attachment Extractor, Quick data, PCVITA and so on. You can use any of them as per your requirement.
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