That one is not possible to do. You can send them the Gantt chart as an
image as Rob suggested but it's just that, a picture of the Gantt chart, and
not the Gantt itself. If team members need to update the project
information, and the only way to modify the Gantt is to change the
information it's based on, they need to have access to the actual project
file that contains that information and a license for MS Project or you need
to setup Project Server and Web Access. That's what those products are for.
FYI - the Gantt chart is not the end all and be all of project management
and simply generating Gantt charts is not what MS Project is all about. The
Gantt is simply a view - you could think of it as a report if you like - of
the underlaying project plan. Creating and managing the actual plan is what
Project is for and "modify gantt chart" falls under that umbrella.