AFAIK, there is no requirement for a Fire Alarm to be a specific sound or tone (unless there is a local code to that effect). But there are other conditions. This is covered in NFPA 72 and this is how it is worded.
10.9.3 An audible notification appliance on a control unit, or
on multiple control units that are interconnected to form a
system, or at a remote location, shall be permitted to have the
same audible characteristics for all alerting functions including,
but not limited to, alarm, trouble, and supervisory, provided
that the distinction between signals shall be by other
appropriate means, such as visible annunciation.
10.9.4 Supervisory signals shall be distinctive in sound from
other signals, and their sound shall not be used for any other
purpose except as permitted in 10.9.3.
10.9.5 Trouble signals required to indicate at the protected
premises shall be indicated by distinctive audible signals,
which shall be distinctive from alarm signals except as permitted
in 10.9.3.
10.9.6 Alarm evacuation signals shall be distinctive in sound
from other signals, shall comply with the requirements of
18.4.2, and their sound shall not be used for any other purpose.
(emphasis added)
So the upshot is, maybe yes, maybe no.