Is it possible for hair loss and gray hair to occur at the same time?

I feel like my hair loss is gradually progressing.

It's scary how much hair falls out when I wash it.

But as my hair loss started, my gray hairs increased significantly.

Maybe it's just my imagination, but I keep seeing it.

Is there any connection between the onset of hair loss and gray hair?

It's so sad. My hair is falling out in clumps, and now I have more gray hairs.