You cannot easily do that, but there’s also no need to do so.
CREATE TABLE mycopy AS
SELECT * FROM mytable;
or
CREATE TABLE mycopy (LIKE mytable INCLUDING ALL);
INSERT INTO mycopy
SELECT * FROM mytable;
If you need to select only some columns or reorder them, you can do this:
INSERT INTO mycopy(colA, colB)
SELECT col1, col2 FROM mytable;
You can also do a selective pg_dump and restore of just the target table.