I do not believe there is a way out of the box to export emails from the CRM. The should be in your Sent folder of your email as well, which may be exportable for you. Here's a list of exportable data.
This would be possible via API. @Phil_Vallender mentioned in another post a couple of resources to help with this: "Migration of records with associated notes, timeline data, activities etc has to be performed by API. There are multiple vendors that can help you with this, i.e Import2 or Data2CRM".
|Did this post help solve your problem? If so, please mark it as a solution.|
We help tier 1 & 2 manufacturers generate leads!
HubSpot Gold Partner & HubSpot Certified Trainer