Vegetable seedlings too large too soon

I planted several vegetables on Feb 28th thinking they would need a good 4-6 weeks to be large enough to plant outside but my Zucchini plants have grown to 11 inches tall already and I cannot transplant them for at least another 3 weeks! They are laying over in the starter pots and I am concerned they are not going to make it. I don't have room to plant them in a larger pot and still have them in front of a window. (have to be in a closed room due to cats) Are they going to make it? Any suggestions?