I think the answer is ‘no’. Link says that Linux is not supported.
I think the full chip name is rtl88x2bu (where x is 1 or 2) and it is not in the kernel (at the current time).
There is enough discussion around the internet to suggest that you can download the driver source and build it for your kernel and load it, and then use it successfully e.g. Ubuntu Forums but I can’t vouch for that, your mileage may vary, and that may be more adventurous than you want to be.
So if the above link is correct then yes it is FOSS but no to your question because you would have to install another module.
Perhaps some future Linux kernel will include the needed driver but that is entirely speculation.
To avoid confusion, I am talking about your original query (Wise Tiger 1300M) not your later query.