No not possible. The owner is the only person who can edit the Task.
Your boss can send you a Status Report by opening his copy. That's as close
as Outlook goes to what you want to do. Try it - it may be what you need!
Judy Gleeson - MVP Outlook
Acorn Training and Consulting
Canberra, Australia
www.acorntraining.com.au
When you post in here, always include your version, SP level, and mode (if
applicable) of Outlook - you can find this information in Help | About. Also
include the type of mail account(s) you use and any other pertinent details.
Be sure to put a concise summary of your question in the subject line, and
the full details in the body of your post.