Yes this is how the Rambam, Maimonides, codifies it (and he is one of the greatest codifiers of Jewish law).
It is the last of the 613 mitzvot (commandments). As R Jack Abramowitz describes it
The last of the 613 mitzvos is the obligation for every man to write a
sefer Torah. Recognizing that not every individual possesses the
requisite skill to do so himself, one may employ another person to do
so on his behalf. Nowadays, it’s very common for people to sponsor
letters, words or verses when their shul commissions a Torah scroll to
be written. In this way, people can participate in the performance of
this mitzvah.
The reason for this mitzvah is to help spread Torah. If everybody
fulfilled this mitzvah, everyone would have a Torah – think how
well-versed people could be! Our verse says, “Write for yourselves
this song” – that is, the Torah – “and teach it to the children of
Israel.” It’s not enough merely to write a Torah and leave it in a
closet; it was meant to be taught!
A person is obligated in this mitzvah even if he inherited a sefer
Torah from his father. While the mitzvah is specifically to write a
Torah scroll, every person should strive to acquire and to study other
books of Torah knowledge.
This mitzvah applies to men in all times and places. It is discussed
in the Talmud in the tractates of Sanhedrin (21b), Baba Basra
(13b-14b) and Menachos (30a-b). It is codified in the Shulchan Aruch
in Yoreh Deah 274. This mitzvah is #18 of the 248 positive mitzvos in
the Rambam’s Sefer HaMitzvos and #15 of the 77 positive mitzvos that
can be observed today as listed in the Chofetz Chaim’s Sefer HaMitzvos
HaKatzar.