You have ruled out effects on a short timeline, with the refrigerator example, so I will avoid those.
On a large scale, theories like C. G. Jung's notion of the Collective Unconscious, or even basic philological principles of culture, imply that thoughts many people have will enter stories that become cultural contents and influence the behavior of future people.
In the middle scale, given our mass culture, we have Rupert Sheldrake's 'morphogenetic field effect'. If you accept his crossword puzzle experiment, then that implies that a lot of people thinking about the same thing, with no intention of shaping the future, and without purposely communicating anythign about those thoughts, will make it easier to make other people think of that same thing later.
(In the experiment, crossword-puzzle solvers who are active in the cultural milieux at the time those puzzles are done by the masses solve the same puzzles faster than those isolated from the culture during that period, even if neither group actually saw the puzzles, or heard anything memorable about them.)
In a less spooky light (that keeps this effect cultural and denies Sheldrake's overall theory of the practice effect) you can think of this as Marshall McLuhan's notion that the medium is the message. Each message in a medium inflects the medium, making future instances of the message more identifiable. So, for instance, we can get more or less influenced by fashions of which we are not consciously aware, so choices people make now will affect your reactions to clothing tomorrow, next week, or two decades from now.
None of this cultural influence comes anywhere near interfering with physics.
From such perspectives of interconnectedness or psychological intersubjectivity, even the hokum behind The Secret is partially true, in a very statistical way. If you are not thinking about something, you may not notice it happening, nor notice things related to it. So if you are not thinking about your goal, you may not notice an opportunity arise to make it happen. Consciously thinking about a goal, then, can make you more sensitive unconsciously to environmental cues related to the subject, and may help you identify moves you can take toward the goal.