All praise is due to Allah, and may peace and blessings be upon the Messenger of Allah.
The evil eye is real, and it has been established through authentic hadiths that humans and jinn can afflict others with it.
As for animals afflicting humans with the evil eye, there is no explicit Islamic evidence confirming this, although some scholars have mentioned the possibility.
There is a hadith stating that certain snakes can affect eyesight and cause pregnant women to miscarry. However, the apparent explanation is that this happens because of their venom, not because of the well-known evil eye that results from admiration of something.
It has also been reported from Ibn Abbas that dogs are among the jinn and that they have souls. However, this does not establish that animals can inflict the evil eye, because the reference here concerns the evil eye associated with jinn.
Conclusion: There is no evidence establishing that animals can afflict humans with the evil eye, although the possibility cannot be entirely ruled out. It is recommended to keep food away from animals or give them some of it, as an act of kindness and compassion toward them. This is among the noble manners encouraged by Islamic law.
And Allah knows best.