Can someone not bipolar experience mania due to caffeine consumption from drinks?

Maybe . Caffeine intoxication can mimic mania. A difference being that the symptoms resolve following metabolism of the caffeine.
No. One might be very "wired" and anxious, and this could resemble agitation from mania. However, this would not be true mania because it would dissipate after the caffeine was gone from the person's system. If you know you get extremely agitated and "amped up" with caffeine, it might be wise to stay away from it.

Related Questions

How should I cut back on drink coffee (caffeine consumption). I feel like I can't function without my coffee.?

Gradually. Any changes to a habit should be made gradually. You can cut back by one cup every one or two weeks and compensate for the reduced caffeine with exercise, increased lighting, etc. http://www.wikihow.com/Quit-Caffeine. Read more...