No. Each testing kit is designed to test one location/tap only.
If your test kit comes with several containers, fill them all containers from the same tap. Each container may test for different contaminants or may be needed for proper quality control in the lab, and all results will display on a single report.
For example, if you wish to test the water directly from the wellhead and from your kitchen faucet you need two tests.
What If I Want To See How My Water Filter Is Working?
In this case, you must use two separate kits. One for the unfiltered water, and another for the water that was filtered. This way you'll be able to compare the two Reports to see how the filter performed.