Absolutely! I sometimes post on my regular page that has my friends (the regular kind of page) and then I always post my writing on my separate author's page which has my name with my middle initial that fans can LIKE (which does not have friends, but rather likes), and I post on my third page which was created with the name of the sports team I usually write about and is also accessed through the LIKE button.
The third one has produced the greatest results as I have attracted 200 fans in less than two weeks. Soon I will be sending my writing to thousands of Facebook users and then when they press LIKE or SHARE that will pass it along exponentially.
You just have to decide what is best for you.