No, Target does not sell spray paint. You may buy some spray paint at Walmart, but they require an ID to show you are at least 18, due to the potential for the spray paint to be used to get high ('huffing'). It may actually be illegal to sell compressed sprays to anyone under 18.
You can buy spray paint at Amazon.
If you want to buy spray paint locally and get the best selection, just stick to Lowes or Home Depot.