Yes. But Worcestershire sauce has anchovies rather than shellfish. With fish, you can be allergic to certain types and not others. So anchovies may not be a problem for you.
If you have a Kroger, their version doesn't have anchovies--at least it didn't a year ago (we don't live near a Kroger anymore). Trader Joe's has a vegan version. I haven't called to see if its safe for our other food allergies, but it may be an option for you.
Do you avoid grilled and fried things at restaurants? I have found that to be best for me. Also If I get a boiled pasta dish I ask if they use the same water for their lobster ravioli, should I also see that on the menu.