no, you need to burn 2 other fastpasses before you can go back into getting tier 1. (trick, get something the same day, move it up, scan your band but don't ride, then do it again for the next ride and you'll get through 3 of them in a few minutes.)
edit to add: the parks that let you get more than 1 tier1 you can do that and prebook them. it's really only epcot where it's in the way.. to be honest it doens't take that long to just stand in line for the others and FEA lately has grossly incorrect wait times and usually much faster to ride than you think).