Can roots get too big?

So I’ve got a possible issue looming. Looks like I’ve germinated my seeds a bit too soon. My room in Snr going to be ready for a lot longer than I first thought. So I’m going to be growing in rdwc. To begin the veg for them I built a dwc system thing. Basically a Plaster’s bath tub, put some Perspex on as a lid with net pots installed. I’m worried if the roots can get too big because they was only meant to be in here a couple weeks but they may be 5 weeks. Will I have issues with the roots entangling with the other plants roots?

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