Plants make noise all the time as they transport water but that is believed to be an unintentional by-effect. As to the possibility of plants intentionally making noise,
my intuitive answer was no but I might well be wrong, there is actually increasing evidence that plants might produce vibrations for communication.
Two examples: Gagliano (2012) discovered that young maize roots subjected to a 220 Hz sound (check out the figure, not sure if I'm allowed to copy it here) grow towards the sound source and additionally emit periodic bursts of sound themselves for as of yet unclear reasons. Gagliano, Renton, et al. (2012) demonstrated that chili plant seedlings grow faster in the presence of an adult fennel plant even though this adult plant was isolated in a such a way that it could not communicate via any known mechanism (chemical, light) with the seedlings, indicating influence through an unknown mechanism. The authors consider both magnetism and sound as possible unknown communication methods.
I don't think any of these sounds would be audible for humans though.
Acoustic emission analysis and experiments with physical model systems
reveal a peculiar nature of the xylem tension.
Laschimke, R., Burger, M., & Vallen, H. (2006).
Journal of plant physiology, 163(10), 996-1007.
Towards understanding plant bioacoustics
Gagliano, Monica et al.
Trends in Plant Science , Volume 17 , Issue 6 , 323 - 325
Out of Sight but Not out of Mind: Alternative Means of Communication in Plants.
Gagliano M, Renton M, Duvdevani N, Timmins M, Mancuso S (2012)
PLoS ONE 7(5): e37382. doi:10.1371/journal.pone.0037382