Yes. Viewers often read directional cues in inanimate subjects much like they do in people or animals. If an object has a “face,” axis, or obvious front—such as a flower center, car nose, or building façade—it can appear to “look” or point somewhere, and that can guide the eye toward or out of the frame.

In your example, the effect is likely strengthened by two things noted in the answers: the interesting lower part of the flower sits very close to the frame edge, and the flower’s center is angled slightly downward/outward. Those cues can make the composition feel like it exits the picture.

The background bud may also contribute because it is noticeable enough to attract attention but not sharp enough to become a clear secondary subject.

That said, this isn’t always wrong. Perspective can naturally make upright forms appear to lean outward depending on camera position, so the impression may also feel visually correct rather than broken. In short: yes, inanimate subjects can create a “looking out of frame” effect, and whether it works depends on framing, directionality, and how supporting elements reinforce or distract from that flow.