In general, no, I just write using my technical base materials.
Although, sometimes (rarely) I might deliberately write something alluding to a specific genre. For example, in my withdrawn Suite #1 there was a movement which was a sort of rag. Sometimes a passage might have a syncopated feel which 'might' be thought of as jazzy, and so on. But, I generally don't deliberately do that sort of thing.
There is a another reason that I tend to not to want to include 'jazzy', 'bluesy', components in my pieces. This is, that in doing so the result is music that to my ear sounds like a second rate imitation of Gershwin or Bernstein. So why bother?
Similarly, a common method of writing 'American' music is to incorporate turn of the 20th century 'Americana' (folk songs, pop songs of the era, etc.). I don't do this either because to me the music ends up sounding like a second rate imitation of Ives or Copland. So why bother?