As per below documentation, it is possible to apply 'year to date' and 'fiscal year to date' time series for weekly indicators but in reality it doesn't work.

https://docs.servicenow.com/bundle/newyork-performance-analytics-and-reporting/page/use/performance-analytics/concept/applying-time-series-aggregations.html#d533395e106

1. create new indicator
name: test_indicator
unit: #
group: incidents open
then click next
2. choose 'incidents.open' as indicator source
click next till the end
3. create jobs for this indicator
4. open the created indicatior 'test_indicator' and click ui action 'Show Analytics Hub'
5. make sure that the top right time series is set to 'Year to Date Sum'
observe the missing data
6.now change the time sries to 'By fisical year Sum+'
then data appears

Note: it doesn't work for the aggregations of below type:
1. Year to date
2. Fisical year to date

the (Year to date and Fisical year to date) don't work as stated in NY documentation

summary: 4w running, 13w running cannot be applied on weekly indicator.

There is no workaround for it yet and most likely documentation needs to be updated.