I would not risk it.
I have told this story a lot.. I bought an acrylic tank that was underbuilt. It was fine for a few years, then the top cracked due to the sides not being thick enough (according to another manufacturer).. Bought one with properly sized walls, no more excessive bowing and it just looks nicer.
If you underbuild, you might end up hearing that loud POP when the top cracks in the middle of the night like I did.
Imagine how stressful it is to get all the fish into temporary housing until you can replace the tank.. Not worth it.
If you can't afford the proper thickness (I'm guessing is 1/2" but please research it), please postpone the project until you save up more cash.
Underbuilding is false economy.