Of course.... and as noted by an entire section in Worldmeter on CFR calcualtions.... until a pandemic is over then the precise CFR with closed cases will not be known. There are methods of providing the most accurate CFR while a pandemic is ongoing -- including the reality that deaths are offset in time T several weeks from the reported cases.
Worldmeter discusses some of this here -
https://www.worldometers.info/coronavirus/coronavirus-death-rate/#correct
Their text is below
The correct formula, therefore, would appear to be:
CFR = deaths at day.x / cases at day.x-{T}
(where T = average time period from case confirmation to death)
This would constitute a fair attempt to use values for
cases and deaths belonging to the same group of patients.
One issue can be that of determining whether there is enough data to estimate T with any precision, but it is certainly not T = 0 (what is implicitly used when applying the formula current deaths / current cases to determine CFR during an ongoing outbreak).
Let's take, for example, the data at the end of February 8, 2020:
813 deaths (cumulative total) and
37,552 cases (cumulative total) worldwide.
If we use the formula (deaths / cases) we get:
813 / 37,552 = 2.2% CFR (flawed formula).
With a conservative estimate of T = 7 days as the average period from case confirmation to death, we would correct the above formula by using February 1 cumulative cases, which were 14,381, in the denominator:
Feb. 8 deaths /
Feb. 1 cases = 813 / 14,381 =
5.7% CFR (correct formula, and estimating T=7).
T could be estimated by simply looking at the value of (current total deaths + current total recovered) and pair it with a case total in the past that has the same value. For the above formula, the matching dates would be January 26/27, providing an estimate for T of 12 to 13 days. This method of estimating T uses the same logic of the following method, and therefore will yield the same result.
An alternative method, which has the advantage of not having to estimate a variable, and that is mentioned in the
American Journal of Epidemiology study cited previously as a simple method that nevertheless could work reasonably well if the hazards of death and recovery at any time
t measured from admission to the hospital, conditional on an event occurring at time
t, are proportional, would be to use the formula: