You couldn't get a legal aid certificate for this, for sure. You absolutely couldn't. In fact, legal aid certificates get issued to represent complainants in sexual assault cases when there are third party records applications or applications to admit personal records or sexual history at trial. In Ontario, those are administered by legal aid, so you do get a legal aid certificate. However, it's not paid for out of legal aid funding; it's paid for by the Province of Ontario.
I can only speak about Ontario. It is different, but it's not a category of legal aid. Most of this work gets done for free by lawyers like myself and Robin Parker.