Welcome to the community. Lowell Five Cent sounds like a local bank, which I am a huge fan of, been using one for many years.
The best way to check if the bank is available is to log into Desktop, connect your accounts for payments, and do a search. Sometimes, smaller banks won't be able to connect, but it doesn't hurt to search.
I am sorry to say that based on my quick search of the Intuit's list of supported financial institutions I was not able to locate Lowell Five Cent Savings Banks.
Just to make sure that I help provide the best answer possible, I wanted to clarify one thing. With QuickBooks Desktop, you can connect to your bank account to download transactions but then there are also merchant services which would allow you to process an ACH payment regardless if the bank feed is connected.
If you were specifically talking about the bank import function of QuickBooks Desktop, the fastest way to test if you will have the ability to import the data would be to download a .qbo file from your bank and try to import it. It must be the .qbo format to import into desktop.
If the file does not have a valid INTU.BID number you will receive the following popup on the screen. Fortunately, there are a couple ways to work around this and be able to import files from any institution.
Modify File with Excel or Text Editor:
It is possible to open the downloaded qbo file and modify the INTU.BID or FID number to match another bank. If you change the number to be 3000 it will be displayed like a Wells Fargo Account, but it will work perfectly. The easiest way to do this is to pen the file, make your changes and then save the file by hitting the Ctrl +S. This will keep the file from trying to change to a different .txt file format.
3rd Party Apps:
There are quite a few different applications that will help you to convert your data into a custom qbo file that could then be imported into QuickBooks Desktop. Most products have been universally designed to work across many different platforms, but one application that was specifically designed for QuickBooks Desktop is Vendorsync. With Vendorsync you have the option to modify the Intuit ID number as well as batch edit your transactions before importing the data through the bank feed area. In the spirit of full disclosure, as the creator of Vendorsync, I should share that I am biased about which app to use.