No. There are a few very specific exemptions. You will not be charged for plastic bags if you're buying:
live aquatic creatures in water
unwrapped blades, including axes, knives, and knife and razor blades
uncooked meat, poultry or fish
prescription medicine
unwrapped loose seeds, flowers, bulbs, corns, rhizomes - as in roots, stems and shoots, such as ginger - or goods contaminated by soil, like potatoes or plants
unwrapped ready-to-eat food for animal or human consumption - for example, chips, or food sold in containers not secure enough to prevent leakage during normal handling