Depending on what options you have for retrieving a list of users, this is definitely something you can accomplish, probably with Workflow.

What I do is pull the list of users, you could use a script, a database sync'd with AD, etc., but you take those results and do the following:

1. Add a variable to your form for the user account
2. Add a User Task assigned to that variable
3. From Workflow: Inside a "for each" activity based on the user list, Initiate a form instance and pass the user account as a hidden variable on the form

For example,

Once a year I query my database and get domain\user1, domain\user2, and domain\user3

I loop through the query results and initiate a form instance setting a User_Account variable to the current value (domain\user1, 2, etc.)

In Forms, the process starts and immediate moves to the user task, which will assign it to that user as long as the account is tied to a valid Forms user.

Then you could even add timer events to the user task to continually remind them if they don't complete it in a certain amount of time.