Yes, Douay-Rheims Bible, Gen 9:
Brown-Driver-Briggs:
Yes.
See also Do pets go to heaven?.
The word for "soul" is H5315, נָ֫פֶשׁ, nephesh. It appears 754 times. NASB translated it as soul (238), life (146), person (68).16 And the bow shall be in the clouds, and I shall see it, and shall remember the everlasting covenant, that was made between God and every living soul of all flesh which is upon the earth.
Brown-Driver-Briggs:
Aramaic Bible in Plain English, Prov 12:that which breathes, the breathing substance or being
נפשׁ is used for life itself 171 t., of animals Proverbs 12:10, and of man Genesis 44:30
Do animals possess nephesh-souls?10 The righteous one is aware of the soul of his animal, and the evil withhold their compassions.
Yes.
See also Do pets go to heaven?.