Technically, no. If you use a subsidy publisher to publish your book and they assign one of their ISBNs to your book then they are considered the book's publisher.
The second set of numbers in an ISBN identifies the publisher of the book. If you use a subsidy publisher that number would identify them, not you.
In order to technically be considered the publisher of your own book you would need to purchase a block of ISBNs from the ISBN agency and assign one of them to your book. Most subsidy publishers will not allow you to assign one of your own ISBNs to a book they are publishing for you since that number tells retailers who to order copies of the book from.
It is becoming common however for people who use a subsidy publisher to refer to themselves as self publishers. Many subsidy publishers will even refer to themselves as a self publishing company. If you are doing the majority of the work: book design, layout, editing, cover art, marketing, etc and only using a subsidy publisher for the book printing, distribution and ISBN then you can probably get away with calling yourself "self published". You may however get a hard time from the people who truly have completely self published their own book. If all you are doing is handing the subsidy publisher your manuscript and having them do everything else for you, it would probably be best to say you used a subsidy publisher and not that you self published.