No she can't. The article (which, btw, was from January 2006) states that men and women will be equal in the rights to titles, but
not in the rights to the throne, or any titles associated with it.Here is a couple of paragraphs from the article (Translation by me!). These are the important ones- the rest talk about historical precedence and other minutia that don't apply to what we're talking about. If you want me to translate the entire article, PM me, and I will, but I cannot post it due to copyright rules. Link to article
http://actualidad.terra.es/sociedad/...er_1180152.htm
The male will stop having preference on the woman in the succession of titles and Greatness {in other words, magnitude, standing, importance} of Spain, on the next day, the 19th, the date the law of equality on this type of historic dignitaries, goes into effect.
With this new regulation, it excludes the titles of the Crown, the titles linked to the crown traditionally, and the titles of the Casa Real, {the royal house}, and they will be governed for their own regulation.
In other words, this does not apply to the royals, including Infanta Leonor. The old laws of succession applies to the Casa Real, so if Leonor gets a male sibling, he will precede her in the rights of succession, as CP Felipe precedes his older sisters, Elena and Cristina. The only titles that are affected would be Spanish nobility. It doesn't mention the titles of the dukes of Lugo and Palma de Mallorca, but I think those are personal titles, anyway, and not able to be inherited.