Yes, you can search by table ID by typing it into the single search bar on the landing page of data.census.gov (example: B19013).

Then when you are ready to search for a new table ID, you can click into the single search bar at the top of the page to type a new ID (example: B19001), and press enter. Be sure to click the magnifying glass if you want your other filters to remain in the updated search. See the FAQ: How Can I Keep My Geographies When Searching for a New Table for more details.