Can I email a client outside of Infusionsoft, and have that email make a record on the client acct in infusionsoft?

We send out our bid/estimates with an online service called “Hello Sign” The unfortunate thing is that there’s no integration, so no record of that email once it is sent. I used Nutshell for a while; I could BCC each email with and it would tag the email onto the client’s file in Nutshell.

Does infusionsoft have something like that?