Can I add a free-standing tub to a shower without extra plumbing?

If the shower is large, can I just pop a free-standing tub in a shower and use a hand shower thingy to fill it, and just let the water drain out into the shower when I am done? It seems like it would work.

Are there lightweight tubs that are easy to “install.”

What do you think? What do you recommend?

Seems like a cheap and easy way to add a tub. The only problem I foresee is a shower head long enough to reach the tub.

How difficult would it be to add the plumbing? I have slab construction, so adding another drain I would have to break up the tile and foundation.