My company has asked me to come up with a time sheet in Excel (using Excel
2002) that will allow the employee to digitally sign it before being sent to
HR.
The employee may work on 2 or 3 projects a day and currently fills out a
biweekly timesheet that shows the time spent on each project day by day.

I am not a programmer so I'm looking for advice and templates that I
can use to come up with this.

Your help is most appreciated.