"0.4 Compatibility with other management systems
This International Standard has been aligned with ISO 14001:1996 in order to....
This International Standard does not include requirements specific to other management systems, such as those particular to environmental management, occupational health and safety management, financial management or risk
management. However, this International Standard enables an organization to align or integrate its own quality management system with related management system requirements.
Too often people mix up between what some companies do or what they THINK should do and what the ISO 9001 STANDRD REQUIRES.
Standards as the name implies are generated so that people don't use their own opinions and judgement, whether it's good or bad, but follow a commonly agreed (by the reps of 140 or so countries) set of rules.
Even if the cited wording of the ISO 9001 standard excludes financial management from the QMS, other sections require it indirectly (i.e. Sections 6.1, 6.3, 8.2.3). The output of the finance and accounting process is critical to proper measurement of the system, and such measurements are required for management to meet the standard.
So, while the standard may give an "out" to those businesses that do not want to include Finance and Accounting in their QMS, these same businesses should have an alternate management system for this critical function. Why would anyone want to maintain two different systems? After all, the standard "enables an organization to align or integrate its own quality management system with related management system requirements".
That's why I think the answer to the OP is yes.