Security Policy

I am trying to determine if it is possible to establish a security policy that allows for the following:

1. A PDF form downloadable from the web
2. The form should be available to be opened and completed by anyone (using Adobe Reader)
3. The PDF form should be submitted, but once submitted, it becomes protected/encrpyted so that only a predetermed computer/contact can open it.

Is this possible?

Any assistance would be appreciated.

-Josh