"Without breaking" is what I assume you mean at the end of this question.

My answer would be "nearly, but not precisely."  This would be difficult to test at home due to the precision needed.

I think the main variation would come from manufacturing variances.  Some balloons will have thick spots and some will have thinner spots.  The thinner spots could form a weakness in a balloon.

Where I live we have a couple of kids who ride the commuter train and make and sell balloon sculptures.  They are nearly local celebrities.  I have watched them work on a few occasions over the years.  They carry a lot of uninflated balloons, presumably all bought from the same manufacturer and have equal specifications.  The inflate them using a one-stroke pump that appears to push a fixed volume of air into them.  I have seen balloons pop during this process.  This tells me that not all balloons are manufactured identically, even in the same batch.

Discovery Education's TV show "How It's Made" has an episode on the manufacturing of balloons.  You can watch it online at the link below.  I just watched it.  As with all of the shows in this series, it's fascinating.

How would I measure this

Can the same type balloon withstand the same amount of presure? How would i measure this?