From reading a paper on how a commercial hatchery does it, it's not by any means impossible, but it is probably tricky. Lots of space and high light so the larvae can settle, then a way to get zooxanthellae into the babies - but the method described is to blenderize an adult and inoculate the water with it... so there's considerable investment.
The basics are that it takes a while to get spawning age clams, then getting their larva to survive is not so bad without pumps, but the initial settling requires some phytoplankton, a source of zooxanthellae for their mantles, and a lot of light (typically shallow waters in partly shaded full tropical sun). I think it's not overly challenging to do, but it may be very difficult to make a small scale experiment work out well.