Usually not
Short answer: No for leftover chemicals, yes for empty rinsed containers.
Dumpsters.com says chemical cleaners and solvents shouldn't go in a dumpster, but empty, rinsed containers can. EPA lists cleaners as household hazardous waste and warns that mixing products (e.g., bleach and ammonia) can react dangerously.
Use them up, or take them to HHW in their original containers.
Checked October 2026. Rules change; your hauler's prohibited-items list is the final word.