Maybe. When you file your U.S. Trademark application, it will be assigned to an Examining Attorney at the United States Patent and Trademark Office (USPTO). The Examining Attorney will search the USPTO database to see if conflicts exist between the mark in your application other marks that are registered or pending.
The key factor that the Examining Attorney will look for is the ‘Possibility of Confusion’ between your applied-for mark and another one that is registered or pending. There does not have to be showing of actual confusion, just the possibility of confusion between the marks. The Examining Attorney will rely on a number of established legal tests in identifying whether the ‘Possibility of Confusion’ exists. If such a possibility is found the Examining Attorney will refuse the registration.