There are a number of hand tools on the market that help with aeration type tasks on the lawn
Some can core aerate but with only two cores at a time.
Spiking the lawn is a different approach to get air down at least three inches into the soil under the turf. You can work very quickly in a small area. This tool is very handy in helping to prevent a path from forming in the lawn where the kids take a short cut to catch the school bus or the postman cuts across your lawn from the neighbor's house. Give that area a spiking every month or two and the grass will keep growing nicely and the path will not appear.
hand spiking tools
push-pull aerating tool