No, there would be no vacuum effect.  The tube would contain the same pressure gradient as the rest of the atmosphere.

You could do an experiment to test this.  Get 2 or 3m of pipe and go to your local swimming pool or still lake.  Put the pipe in the water so one end is just sticking out, and the pipe is sticking straight down. In this experiment, the water is an analogue for the air, while the air is an analogue for the vacuum of space.  You will see that the water does not shoot out of the pipe, despite the water pressure at one end of the pipe being considerably higher than the air pressure at the other end. The same thing would happen if the pipe stretched to space.