Can I use one form and have the information be sent to separate recipients?

I have certain clients that need to fill out a monthly report.  Each of those clients has a different account manager, so each specific completed report would need to be sent to a specified account manager.  Is this possible?

Yes, this is possible by creating notification email in your form. You can send a notification email to different recipient depending on the answer of your user by setting up Change E-mail Recipient condition on your form.

You can check these articles for more information:

Setting Up Email Notifications

How to Send Email Based on User's Answer

Do let us know if you need further assistance.
Regards.