Mike, modify|assemble| by 3 points should do what you want for one object (or group/block), generic transformation by 6 points is essentially the same function, except that you can assemble multiple selected objects by moving them (the same displacement) at once. The 3 points are prioritised, the first point-to-point is an exact meeting, the next point-to-point will define assembly axis, the last will define the rotation of the moved object around it. I find them very intuitive. These transformations are feature-based, not requiring any other adjustment.
If by draw, you mean mold draft, then no, TC doesn't do it automatically. Draft is able to be applied with extrusions and other objects, but it's relative to the creation plane of the object at the time of it's creation, not able to be applied subsequently relative to another feature.
I should qualify the last statement: draft CAN be applied manually, but conditionally, with the facet editor. Conditions include that the facet displacement doesn't break into, or out of, adjoining blends or fillets, or similar features on adjoining faces.