Is it possible to use the Yandex Maps API to calculate the points closest to the entire path of the constructed route within an n-km radius?

Question

Yandex

I dug into the documentation for the API, but did not find anything similar. Perhaps there are some options for implementing it?
How can such a problem be solved?
I know a little about finding the nearest points on the sphere, but maybe this is not enough and there are some formulas for this?
I would be very grateful for any hints.
UPD:
I'm thinking about getting route segments with coordinates (a limited list of segments, say, every 2-3 or 50-100 segments, depending on their total number) and searching for the nearest points in a circle or even on a square using these coordinates. Won't take off?
UPD1:
The very task I'm trying to solve:
- there are a number of delivery points in the database with two fields for coordinates (lat, lon).
- the user specifies a point from and to, for example, two cities, for example, let's take Moscow and St. Petersburg.
- the system should find the delivery points available in the database between these two points and show them in a list and display on the map
Thank you.

Answer 1

But it seems to me that it’s worth just building a route from all delivery centers to the specified cities, and selecting those that are shorter. Then the capabilities of the selected API will be enough for you.