Yes it is, but it takes time, especially if you have dark strong hairs.
When I started electrolysis in my 40s I went weekly for a year or so and then gradually as the growth got weaker went less often. I now have ot once or twice a year.
The problem is your face is covered with fine hairs so as one crop of coarse hairs are removed, more fine hairs become coarser, not cause and effect, but part of the ageing process. So as each group of new hairs become coarse, they need removing
I am blessed with strong luxuriant hair on my head, it has thinned very little. The downside is, it is luxuriant elsewhere as well, although body hair has reduced considerably in the last five years.
I can remember seeing old ladies with beards when I was a child, and I am so glad electrolysis has enabled me to avoid the same fate.