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That depends on what you are referring to. If by PULUMI you mean the azure-native provider, then it is entirely possible. Not certain about Azure, but the native providers I have used are all relatively new compared to the terraform-based providers, and sometimes have bugs or missing features. However, it seems that this particular native provider may be pretty up-to-date based on their docs. If by ARM you mean specifically Microsoft’s Azure Resource Manager, then it seems likely they are going to be most up-to-date on things since it is literally created by MSFT. Otherwise, you might be referring to the azure classic pulumi provider, which provisions resources using ARM APIs doc link

all of the arm templates should be mapped to azure native resources

And why i cant create an Azure Flexible Database with Azure Native ?

Where is this in arm?