via TSQL, the best answer is no, you cannot install a new SQL instance via TSQL.
it has to be done from the operating system side, with the example parameters supplied above, as a .cmd or .bat file, or simply inline in a cmd window.
there are edge cases, where if you are running the right user for the SQL service, you could call xp_cmdshell and it might work, but it's not worth the trouble to track down all the errors and issues to make it work.
additionally, it is exceedingly rare you need to install additional instances if you already have an instance in place, so I'm wondering what the real issue is on this question.
Lowell