Yes. The price will be passed on only if the market will bear it. If my soda is going to cost me 10 cents more because of taxes and I’m still willing to buy it, the soda companies should raise their prices 10 cents even without the tax.
The price of every single good would go up, including all food - not just soda, diapers, toilet paper, toothpaste - everything.
Everything we consume is shipped and if the price of everything goes up the standard of living of everyone goes down. This would be a regressive tax that would disproportionately impact those who can least afford it.
This would be incredibly inflationary and hurt the poorest the most. Bad idea.