Absolutely not. You can add letters as they come. In fact, programs expect this. I did mine intermittently as they trickled in (in fact, some of mine didn't get in until the big deadline dates (i.e. 10/15, 10/31, etc...)) and didn't seem to make a bit of difference. Letters are important, but I feel they aren't too helpful in the initial screening process. I think once a program has whittled down the applicants, then individual letters may start to make more of a difference. Heck, I know people who got interviews without having any letters uploaded at all. Don't sweat it.