Koinly allows you to change your cost-basis method for specific tax years, if you are using an xIFO method such as FIFO, LIFO or HIFO. It is not yet possible to switch to/from other cost-basis methods.
If you are using one of the xIFO cost-basis methods and want to change the method for a given tax year, simply open up your settings and select 'Add override', which is shown underneath your cost-basis method:
You can then set a different cost-basis method for any past or present tax years:
If you are unsure whether you are allowed to change your cost-basis method, then you should seek the advice of a licensed professional