We take a closed glass tube from one side. Fill this tube with water. Turn the tube inside a large basin with water from the open side. The water at the top of the tube will drop by a perpendicular rate. Pressure at the top of the tube will be zero
Pressure from particles could be set to zero by removing all the gas in a small container with a top quality vacuum pump (it' really difficult but has been done I think). However even then the walls are at some none zero temperature so there is thermal radiation in the container which would create a small radiation pressure. Finally, even if you could cool the walls to a very low temperature, there is "vacuum energy" within the container. The only way to exclude that is to make the walls very close together, look up the "Casimir Effect" for more on this.