Ok, now I can't tell if you're just being funny, so I'll answer you in good faith.

Yes, but it's a negative pressure compared to the pressure of our atmosphere, so also... No.

There's an inherent property of an object with mass to be attracted to other objects with mass. It's a somewhat weak force, but it does exist. This force is known as gravity. Now picture a sheet being held at all 4 corners, then having a bowling ball rolled to the center of it. The sheet is like space and the bowling ball is like our planet (or any other celestial body, really) that sag of the sheet is gravity. Now put a marble on the sheet and you'll see the force in action. Put that marble fast enough away and it won't even roll toward the bowling ball.

The Earth's mass produces enough gravity to retain a bubble around it, otherwise known as "atmosphere". The atmosphere has weight, due to the mass of the gasses that are being produced on the planet. The further you get from the center of the planet, the lower the weight of the gasses above you. This is what causes the pressure known as "atmospheric pressure" which is around 14.7lbs inward toward the center of the planet on every in^2 of surface at sea level, whether liquid, solid, or gas.

Beyond a certain point of our atmosphere, this weight becomes virtually non-existent. There are still other gasses, dust, rocks, particles, radiation and other energies, etc... but there's not enough of them close enough to sufficiently pressurize the space between the stars or planets to the degree that our own gasses do to us.

This negative pressure differential is colloquially known as a vacuum, albeit an imperfect vacuum.