You can't open a new window from server code. You have to do it client-side. If you are using an ASP Button you can use:
OnClientClick="window.open('~/manifestHAWB_Print.aspx', target = '_blank');return false;"
If you need to visit the server-side first, then when you're there, just register a startup script with window.open():
ScriptManager.RegisterStartupScript(this, this.GetType(), "launch", "window.open('~/manifestHAWB_Print.aspx', target = '_blank')", true);