Is it possible to from same domain to have one email point to Zoho and another email point to Office 365 Email Essentials?

Is it possible to from same domain to have one email point to Zoho and another email point to Office 365 Email Essentials?

I partner with a colleague on a few projects.  She had me set up with an email to use with a particular client.  She has to pay for my additional email and there is not enough business to justify the cost.  I thought maybe I could set my email up through Zoho while hers in accessible through Office 365 Email Essentials.  Is this possible?  In the instructions it says to delete all other MX records other than the zoho records but I believe that would then effect her email capabilities.