This feature needs to be added. You can certainly accomplish this in
EazyDraw but the "feature" is not named and packaged as "offset".
A) You can use a Ribbon or Wall Path. This is on the Technical tool
palette. Then you draw both a line and the offset at the same time.
This is more powerful than the old "offset" commands because as you
draw you are interactivly managing the critical issues of twists,
corners and joints. Offsetting is trivial for many shapes but if there
are corners, pinches, twists, .. in your design they are not well
defined but the wall and ribbon tools provide feedback here and show
you the results as you draw.
B) Use "Convert To Filled Shape" - this will give you a very well
behaved "Fill Only" graphic with or applique border.