To answer your question, no there is not. The automated sales tax app is just that, sales tax only.
Excise tax is not the same thing, so you have to manage it manually in QBO, and since QBO is lacking some functions that are in desktop, it is a mess of a work around
create the liability account, excise tax due
create a service item called excise tax, link it to the excise tax due account, and set the rate to 0.04, and set the item to non-tax (I don't imagine you are required to collect sales taxes on the excise tax)
On the invoice select the excise tax item, in the QTY block enter the amount subject to the tax.
i.e. if the taxable items total $234.45 the excise tax item would look like
excise tax, qty= 234.45, rate = 0.04, total = 9.38
Later when excise tax is due, enter the payment and use the excise tax due liability account as the expense (reason) for the payment