The short answer is definitely NO. While animals can be of some assistance to man and excellent companions, they lack at least three important elements that make them, over-all, not suitable in every way
- Intelligence to discuss matters together
- Ability to be intimate and procreate with man together
- Ability to understand and appreciate and share the fellowship of God together
Thus, an animal cannot bond with a human in anything like the ways that another human can do. Another animal cannot really think in abstract terms and cannot be a partner in marriage.
The Cambridge commentary observes:
an help meet for him “meet”: or answering to. The word “meet” means “suitable,” or “adapted to.” The Lord God will make for man a
“help” corresponding to his moral and intellectual nature, supplying
what he needs, the counterpart of his being.
“Help meet,” which has become a recognized English word, fails to give
the full sense of this passage from which it is derived. Man will find
help from that which is in harmony with his own nature, and,
therefore, able adequately to sympathise with him in thought and
interests. It is not identity, but harmony, of character which is
suggested.
The pulpit commentary is more detailed:
The Divine judgment of which the preceding chapter speaks was
expressed at the completion of man's creation; this, while that
creation was in progress. For the new-made man to have been left
without a partner would, in the estimation of Jehovah Elohim, have
been for him a condition of being which, if not necessarily bad in
itself, yet, considering his intellectual and social nature, "would
eventually have passed over from the negative not good, or a manifest
want, into the positive not good, or a hurtful impropriety"' (Lange).
"It was not good for man to be alone; not, as certain foolish Rabbis
conceited, lest he should imagine himself to be the lord of the world,
or as though no man could live without a woman, which is contrary to
Scripture; but in respect of
(1) mutual society and comfort,
(2) the propagation of the race,
(3) the increase and generation of the Church of God, and
(4) the promised seed of the woman (Willet).