We're not even certain that OUR star has an Oort cloud. The hypothetical Oort Cloud is too far away, and is composed of bodies generally too small, for us to be able to detect anything there even with our most sensitive telescopes.
However, this is one of those things that we cannot yet prove, but which sounds reasonable; that there is probably some left-over material around the solar system that never quite fell close enough to the planetary nebula to be included in the formation of the various planets. That some of this material, influenced by some gravitational force over eons, continues to fall in toward the Sun and the inner regions of our solar system.
So, while we have to say, "We don't know for sure", the answer is "Probably, yes."
Jan Hendrik Oort suggested that comets come from the Oort Cloud. This is sometimes called the Oort Hypothesis.
Oort (Yes - that is what it is called)
Objects in the Oort cloud have never actually been observed; they are more theoretical that actual at this point. The problem is that they are so far away - hundreds or thousands of AU away - that they are invisible in our current telescopes. This will probably change as telescopes of greater and greater power are developed. That said, there is no reason why an Oort Cloud object of sufficient size should not have moons. Asteroids have moons; Pluto has three moons. It's just that we haven't seen them yet.
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The Oort cloud
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Oort cloud
allstars
No. Individual planets do not have Oort clouds; we're not even certain that our solar system has one. The Oort cloud is supposed to be the tenuous region of space far beyond the orbit of Neptune, which may (or may not) be where comets come from. Other than the occasional comet, we have no definite proof of the theory.
Nakuru AllStars was created in 1961.
Spam Allstars was created in 1998.
JDM Allstars was created in 2008.
North Mississippi Allstars was created in 1996.
That is the Oort Cloud.That is the Oort Cloud.That is the Oort Cloud.That is the Oort Cloud.
Santa Cruz Hemp Allstars was created in 2001.
Kelsey Rule from World Cup Shooting Stars. Whitney Love from Kentucky Elite. (Kentucky Allstars) Erica Englebert from Cheer Extreme Allstars. Maddie Gardner from Cheer Extreme Allstars. Bucky O'Leary from Top Gun Allstars.
The Oort cloud.However, technically the Oort cloud IS part of our Solar System.See related link for more information.