i hope you not saying that bcoz she does not have any special powers bcoz thats not the requirement. A clan is a surname.
No your last name is your surname.
A clan is a group of people
T he distinguishing factors that a clan is a smaller part of a larger society such as a tribe, a chiefdom, or a state.In some societies, clans may have an official leader such as a chieftain or patriarch; in others, leadership positions may have to be achieved, or people may say that 'elders' make decisions.
So far all clans in konoha has followed this traditional format.
The hyuuga,Nara and uchiha clan have all shown to have their own private sector and follow a structure.Even the akamichi which we know very little about has also been shown to follow this.
Meaning if kishi wanted too point this out about the "Haruno Clan" he could have done so.
"Apart from these different historical traditions of kinship, conceptual confusion arises from colloquial usages of the term."
Sakura has never mentioned anything or alluded to being apart of such a system.
And given that she is a ninja,if she was part of a clan we would of had seen some aspect of her duty as a clan member revealed or seen through her actions at some point.
Not everyone that is a ninja hails from a clan.
There has been no hint or any mention that haruno belongs to a clan.
She could very well be from two ninja who were born from no particular group.