Absolutely possible.
I'd strongly advise using Nodes As Tabs - wonderful addon by Jake Bunce. Either search or use my Addons tutorial link in my sig - NAT is listed in it.
(see also my Admin Favourites in my sig for more detailed help)
You'd then make a Link Forum called Member Services.This will be used to create your new Tab.
A Link Forum has to point at a URL. I suggest you create a new XFPage which lists and explains your Member Services. Insert its URL in the Link Forum for Member Services. (They are like partners, one is a real page, the other makes the navbar tab.)
NAT will add options to all nodes incl. Link Forums. Enable this one as a Tab Display As Tab. Enable Permissions if you need it. Leave the page open.
Righttclick Appearances to make another browser tab. In that open Templates.
Put "nat" in searchbar - open nat_linkstemplate - Copy its contents
Return to Templates - clic Create New Template button top right. Paste into the blan template.
Name it eg "YOURNAME_member_services" (your name makes it distinctive to search and find)
The template contents show you what to do to create your secondary links-
Copy <li><a href="{xen:link 'url1'}">Text1</a></li> and Paste it above the line in capitals. Replace url1 with the link to Bank - don't disturb its commas. Replace Text1 with the name Bank. Repeat for User Albums.
Save this new template - Copy its name from the top.
Return to the other browser tab and Paste this template name into Links Template: box.
Enable Popup Menu gives you the dropdown.
Save Link Forum button.
Go to frontend, Refresh - OK?
Play with the order of display on the navbar if you prefer.