The answer to that is pretty much no. Only the same kinds of gambling that Alaska already allows anywhere else in the State. If the State allows pull-tabs then a tribe could have a pull-tab shop. Casino type gambling is illegal in Alaska so would not be allowed on tribal lands here.
http://www.tax.alaska.gov/programs/programs/help/faq/faq.aspx?54160
 Keep in mind that much of the tribally owned fee land is in very remote areas; gambling operations need lots of customers to be successful ... not likely to happen off the road system.