In as word : no. Vegetables need mucho mucho light.
There should be -- at a minimum -- two 40-watt florescent lights, 48" long, suspended a few inches above the seedlings, moved up as the seedlings grow. Cabbages probably want to be grown as cool as possible, as well.

A cool sunny window with a supplementary 100 watt incandescent (or the equivalent) in the evening would probably work also. My mother grew delphinium seedlings that way years and years ago in the old days before we had all this equipment at our disposal.

I am not an expert vegetable gardener, but I imagine you would want to get those cabbages outside into the ground as soon as you ever possibly can. They are winter vegetables, no?

The good news is that seeds are cheap and you can always try try again.

While I can't speak to the lighting requirements of cabbage, I can tell you that there are MANY aquarium lighting options that are ideal for growing plants. A very large segment of the aquarium community is devoted to growing aquatic plants. They require the same or more lighting than terrestrial plants require. You could use T5 HO (high output) fluorescent lighting, metal halides (great light output but expensive and use lots of electricity) and there are several LED options out now that might be ideal for you. Hope this helps!

The fish gallery, you replied to a 10 year old thread. Doubt they’re still waiting for an answer.

Dave - someone else might have the same question and could benefit from the answer. We're just trying to be helpful!

Aquarium isn't good for seed starting. Seedlings need good airflow to prevent disease. Aquariums are good for already grown houseplants.

Even for already grown plants aquariums can be problematic ... especially if one makes the ill advised choice of trying to do a "closed" terrarium.

Air circulation can be a fairly simple thing to remedy -- installing PC fans works very well.