I don't think I'd try, no, because the soil is so impoverished.
Any plans to get rid of the conifer?!

Welcome, Ilona!
If you can thin out and raise the canopy, there are a few things to try: Creeping Holly-Grape (Mahonia repens); Columbine (Aquilegia formosa & hybrids); many ferns; Snowflake (Leucojum species); Aspen Daisy (Erigeron speciosa); Carpet Bugle (Ajuga reptans); Lily of the Valley (Convallaria majalis); Pigsqueak (Bergenia species); Brunnera macrophylla; Coral Bells (Heuchera sanguinea); Hardy Geraniums; False Solomon's Seal (Smilacina racemosa).
It is going to be poor, dry soil, so apply a good organic fertilizer, such as fish meal, mulch everything with good compost, and be ready to water the first few months, and in drought thereafter.