That’s an interesting question. First thought is no.
Thought:
Infrared is near the “far/deep red” region. While we don’t believe plants are able to utilize IR (other than for heat), plants do have photo-receptors in the far-red region. If you are giving the plants “far red” (or if some of the infrared spills into the FR region) without the addition of any red, you would be in essence helping a short-day plant get sleep (faster down conversion between the phytochrome Pr/Pfr clock).
Where the boundary between infrared and far-red exists is up for debate.