Yes, but the main issue is how mixed the materials are in our consumables. Mixed recycling is basically bullshit. We should have more standardized packaging and more categories of separation strictly enforced. Japan does this pretty well.
You could opt in to pay extra for sorting if you can afford it sure.
And emissions need to be better taxed, and illegal dumping and discharge into rivers and such a jailable crime with big fines for businesses with accountability going right up the chain to investors.