would heat create pressure in a contained vacume where the containment area is a shield that blocks all heat?

Question

from passing through the containment field

Answer 1

If it is a true vacuum, then there is no way to build pressure by adding heat. In a real situation, there is usually some molecules floating around or on the walls of an evacuated chamber (like neon tube) and heating will release these and increase the pressure (or reduce the vacuum.)

Answer 2

Conventional pressure is manifested and measured as a consequence of momentum transfer between a gas and an object.

However, momentum transfer can also be achieved via light only.
http://en.wikipedia.org/wiki/Light_pressure

Since heat transfer can be manifested as photon radiation, it can transfer momentum and therefore can produce pressure:
http://en.wikipedia.org/wiki/Thermal_radiation