Yes, she can copy single letters, she recognizes all her letters as well, but I've not tried dictating letters. She can also write her name.
She balks at just about everything I've tried to get her to do... she does not even like to have me write for her, so I have her tell me her "dreams" each morning, which has gotten to be quite an involved story telling time.
She does like some coloring, but not drawing and she does not really care much about keeping in the lines when coloring but at least uses a variety of colors!
I'd probably look for 3 kinds of activities, with 3 different goals
1) Activities that encourage her to remember the formation of the letters, so she can move from copying to writing from memory. This might include:
-- Having her make letters out of various materials. Handwriting without tears letter pieces, or with tape, or by stamping with a bingo marker, or with playdough snakes.
-- Having her practice making letters without a model in front of her. This might include
Doing a worksheet where she copies a letter 1 - 3 times (there's not any benefit beyond that) and the flips it over and writes it on the back once by herself.
Having her add things to a grocery list, etc . . . by writing the first letter. If need be, you can work with her to figure out the first letter, and model it for her on a post it note. Then remove the post it note before she starts.
-- Practicing writing things in ways that aren't permanent. For example, write a letter in shaving cream or finger paint or sand, then erase it, and then have her write it in the same materials. Write a letter on an outside wall with a paint brush dipped in water. Then erase it by painting over it with more water. Have her do the same next to you.
2) Activities that draw her attention to your writing words in context. Having her dictate her dreams to you is fantastic. Making predictable charts/texts is a very powerful way to help kids understand how letters and words fit together (https://www.med.unc....hartWriting.pdf). Incorporating writing if you're drawing together, or involving her in something you're writing, like a birthday card or a grocery list.
3) Activities that encourage her to plan and then purposely make marks (not coloring). For kids who draw this is easy, but if she doesn't like to draw, I'd think about working with painter's tape to make roads, or runways or to lay out the floor plan or the cages for a zoo for toy figurines; or decorating food (I recently had a group of kids get really into making emoji faces on round rice crispy treats. Emojis use many of the same lines, dots, and curves that letters do. We made ours with snakes made of rolled up fruit roll up, but you could also do icing on cupcakes, or lines and rows of raisins on cream cheese on a rice cake). Things that help her be purposeful about the direction she's drawing in, and to help her visualize in her head before she picks up a writing implement.