yes they will grow no problem but in a way it can affect yield with the size they grow, they weed can quickly outgrow it and your yield in the basil will decrease. or lets say the basil outgrows the weed somehow and hogs up all the light it can affect bud yield. I am currently facing the same situation, should i grow my tobacco with my herb? I choose not to because Im doing low yielder that need every bit of light to get a respectable yield. so I made a CFL vegg box and keeping my tobacco growing till summer were I can transplant outside and grow monster tobacco plants while getting the most herb i can out of my indoor.