rid·dle2 (rĭd'l)
n.
1. A question or statement requiring thought to answer or understand; a conundrum.
2. One that is perplexing; an enigma.
The first thing I though of was to look up what exactly a riddle are.
I did notice that there was only one question in the riddle, but based on the definition of a riddle a riddle does not have to consist of a question (it can just be a statement too).
So the question is what kind of riddle this is, if it is a prank riddle then the answer is "no" since that is the answer to the question, the rest is then just a distraction.
But if the whole thing is suposed to be looked at as many hints to what the answer is then there are multiple possibilities.
Since the statements are so many and varied, then the answer have to be a general term.
I'm thinking that "time" is the most likely answer.
I turn polar bears white - polar bears are born yellow and get's whiter and whiter
and I will make you cry. - Time can have that effect on you
I make guys have to pee - Well sooner or later everything has to pee
and girls comb their hair. - Can't go around never combing your hair
I make celebrities look stupid - Celebrities gets old
and normal people look like celebrities. - by working out and living healty you can age gracefully
I turn pancakes brown - Leave them on the stove for to long and they turn brown
and make your champane bubble. - Chapagne takes time to develop the bubbles
If you sqeeze me, I'll p o p. - I'm not quite sure about this one
If you look at me, you'll p o p. - time moves slowly if you watch the clock
Can you guess the riddle?
But it can also be "pressure", "nature" and "life". Or any number of general terms like that.
tl;dr
If the riddle are meant to be taken seriously then the answer is probably "time"
If the riddle is a prank riddle then the answer is "no" (or "yes" with a very high probablity of guessing wrong )