The speaker seems to feel out of place, even in their own life. The poem opens with a small, uneasy admission: "Our pictures / do not please us." Whether those pictures are photographs, images we hold of ourselves, or something else, they don't match what we hoped to see. From there the speaker says they have to make their own acquaintance "again," as if they keep meeting themselves as someone unfamiliar.
The last lines are the strangest and most striking. The speaker lives "as long as a child / never playing / at home," which suggests a life lived with a child's short span or a child's dependence, but without the ease or comfort a child might have at home. The title, "Stranger here myself," fits this sense of not belonging. The mood is quiet, wistful, and a little lonely, with a hint of dry humor in the title. The poem is brief and its meaning is open, so it leaves you to work out what exactly has gone wrong.