I don’t believe so, no. The fan you mention is for AM5 desktop mountings. The stock fan you have currently (basically a laptop fan) is the one being used on millions of identical entry-level mini PCs, particularly those with the same board and same metal casing. Yes, many people comment that in a quiet room or when kept close by they are quite audible.
In the case of the ones we sell running StartOS, the comments on the fan noise typically involve the fan spinning up each time something intensive happens. Which for those who run Bitcoin, is pretty often. While the fan noise is always going to be the same, the intensity of the noise can be reduced by turning off performance boost in the BIOS settings when connecting a keyboard and monitor.
Steps…
Restart the server connected to a keyboard and monitor
At startup, repeatedly hit Delete to enter BIOS at startup
Go to… Advanced > AMD CBS > CPU Common Options > Core Performance Boost > Disabled