Can creativity be taught?
The first Google hit for "creativity training psychology" (Chamorro-Premuzic, 2013) seems to answer your question pretty thoroughly. Prof. Chamorro-Premuzic is a pretty formidable psychologist, so it's no surprise coming from him! To quote the post:


  In short, creativity is not 100% malleable, but it can be affected by deliberate interventions. People's generic creative potential is more dependent on personality than contextual factors, but domain-specific creativity depends more on acquired expertise and our inspiration to be creative is both dispositional and situational. In simple terms, if you want to be more creative there's a lot you can do to achieve this - the only difficulty is to achieve the same results with people who don't want to be more creative (once again, it is a case of the rich getting richer and...)


Here's one particularly promising way to learn creativity: have other cultures teach you! Psychology Today (Markman, 2010) offers a nice review of a study of multicultural experience and creativity (Maddux, Adam, &amp; Galinsky, 2010) that found creative improvements among travelers abroad. Good excuse for a vacation!

References


- Chamorro-Premuzic, T. (2013, May 18). Training creativity: Can psychology boost our creative potential? Psychology Today: Mr. Personality. Retrieved from http://www.psychologytoday.com/blog/mr-personality/201305/training-creativity-0.
- Maddux, W. W., Adam, H., &amp; Galinsky, A. D. (2010). When in Rome... Learn why the Romans do what they do: How multicultural learning experiences facilitate creativity. Personality and Social Psychology Bulletin, 36(6), 731–741. Retrieved from http://psp.sagepub.com.uncensor.it/content/36/6/731.full.pdf.
- Markman, A. (2010, June 26). Can living abroad make you more creative? Learning to live in another culture has real benefits. Psychology Today: Ulterior Motives. Retrieved from http://www.psychologytoday.com/blog/ulterior-motives/201006/can-living-abroad-make-you-more-creative.