I expect you could do that. I would hope that your house could hold all that weight.
BTW, I have that exact tile on the floor and have maybe 50 - 75 tiles left over sitting in the garage. Where do you live? Laughing
Good luck
That's the first time I have heard of an indoor planting system. I am not sure how you would even begin construction on something like that but would be very interested to hear how the project turns out. You can try to consult some Seattle handyman and ask for bids you can get an ideal about what your in for.