So far as I understand it, Legal Aid is provide on a means-tested income basis, rather than according to the case (there are exceptions where legal aid is not provided, but this is a bit aside).
So, unless there are special circumstances relating to your former partner, ie, no income, then the expectation would be that no legal aid would be provided. The caveat, of course, is that I am not a solicitor and therefore am providing a personal opinion, not a professional opinion.
A warning on fighting people who receive Legal Aid, though - because they tend not to be restricted by budget, some solicitors will milk their case on the basis on what they can get out of the system for themselves, rather than because of being in the absolute interests of the clients. I have a neighbour feeling the pressure on this on a different matter, where they pay legal costs themselves against an ex-partner who gets legal aid. 2c.