Yeah, ASAP is a relative term. There are some steps required before you can fully explore there, but keep in mind that the things you find in the wreck will help with later exploration.
I don’t remember needing a moonpool until the midgame. Mostly this is because the parts/blueprints are found in mid-depth areas. (I was definitely able to comfortably explore the Jelly Shroom caves before getting a moonpool.)