Welcome to Fluther.
In general (because the Moderators have super powers unavailable to the rest of us), users cannot see what questions you have clicked into, but even if they could no one has a handle on whether you did that by accident, or whether your cat did it by walking across the keyboard, or whether you even understood the question that was written. (I often can’t make heads or tails of some questions.)
As @dxs notes, “while you are composing a response” in the answer box, then any user viewing the page at that time can see that “norosy is composing a response”, but if you abandon the response before submitting, then there is no permanent trace.
But even if we could tell who read the questions – and you’ll get a feel after a while and after long familiarity with some of the long-time users here who will and will not read and respond to various questions, and even what some of the responses will be – it wouldn’t much matter. There’s nothing to be done with that information, anyway.
EDIT to add: There’s also no way for a user to know who has clicked the “Great Answer” or “Great Question” buttons, either – as a general rule. (I think this kind of information may be available to moderators, but they’re generally so overworked that they can’t be bothered with that, anyway.)