In a modern sense of pornography, such as explicit images depicting sex acts, not necessarily. Certainly, we can find erotic sketches, sculptures and paintings that were made, but "smut" was not produced on a large scale.
The colonies were steeped in Puritanism or other Christian denominations and were fundamentalist in many ways. However, in major cities such as New York and Philadelphia, more liberal ideas were uprooting the status quo, and erotic pamphlets and books were being sold. There are even rumors (the validity of which are unlikely at best) that Benjamin Franklin was an avid collector of this erotica.
Sources: http://www.pornographyhistory.com http://www.common-place.org/vol-04/no-03/tales/
I don't have access to the full text at the moment, but Sex Among the Rabble: an intimate history of gender & power in the age of revolution, Philadelphia, 1730-1830 by Clare Lyons discusses this.
What I can grab from Google books right now is this:
"The difference, beginning in the 1760s, was that bawdy and erotic print material became available to men and women of all but the lowest classes through its incorporation into locally produced almanacs, an increase in the importation of books, and (by the 1770s), Philadelphia reprints of the most popular European texts." (p. 133)
It continues on in more detail, and I wish I could access it. Perhaps someone else has it laying around somewhere and could quote more.
There were several famous and widespread erotic novels, such as Diderot's The Indiscreet Jewels (1762) and Cloister (1764) that colonists would not have too much trouble finding (p. 131).
As far as /u/luciuspecker 's brothels question, Lyons goes into that topic in great detail. Basically, brothels were very present in major cities in colonial America. She even says that there was "little difference between the sexual habits of brothel prostitutes and members of the city's respectable classes" (p. 144).
In short, I highly recommend anyone with an interest in sexuality in colonial America pick up Clare Lyons's Sex Among the Rabble, as it's very informative and well-written.
To be honest with you, I don't actually know too much about colonial america. You might find Rereading Sex: Battles Over Sexual Knowledge and Suppression in Nineteenth-Century America by Helen Lefkowitz Horowitz good, but it is about the 19th century (1800's) which is a little later than "colonial america." However, it is a really excellent work.
I'm not sure if I'd agree with /u/Pbnjazz and say that there were no explicit acts depecting sex acts--these ocurred in Europe as early as the late 1500's, with Arentino and others. The 1600-1700's was also one of the great eras in libertinism and libertine publishing and works in Europe, England and France especially. So, yes, there was likely some porn, but with the caveat that much of it likely had to be brought over from Europe, I don't think there was much of an established printing press that was capable of libertine, erotic, or pornographic works, but there may have been in some places--e.g. Boston, Philadelphia, etc. Slightly out of my range however.
Kind of a tag-along question.
How prevalent were brothels? I really can't imagine widespread pornography due to technological difficulties. But it definitely seems like brothels were more common back then.
Continuing. How did the rise of pornographic productions effect the prostitution "industry"? Was a there any noticeable decrease?