Yes, more or less. The medieval works counting the commandments count Be fruitful and multiply as the first commandment; only men are technically obligated, though. (But you can't really do that without someone going along ... some say the Torah couldn't obligate women per se because childbirth was so dangerous; others that anthropologically, a society works if it can harness its young men into being productive members.)
"Not good for man to be alone" is seen as religious value, but not the same as an all-out commandment; theoretically once someone has had children, let's say his first wife died; we would tell him that it would be nice to have more kids, but even if not, better for him to marry again, because of "not good to be alone."
The "therefore man shall ..." bit is not actually viewed by the Talmud as a command per se. (Well I take that back -- he shall stick to his wife is seen as an early injunction against adultery, though framed as a yes-do not a don't-do.)