MySQL and GROUP_CONCAT() maximum length

I'm using `GROUP_CONCAT()` in a MySQL query to convert multiple rows into a single string. However, the maximum length of the result of this function is `1024` characters. I'm very well aware that I can change the param `group_concat_max_len` to increase this limit: SET SESSION group_concat_max_len = 1000000; However, on the server I'm using, I can't change any param. Not by using the preceding query and not by editing any configuration file. So my question is: Is there any other way to get the output of a multiple row query into a single string?