Lucy is correct. Unfortunately the answer for your question is no, that is not a proper use of an H2 tag. It's more likely to get the entire H-tag structure of the page ignored by the algorithm than to pass on a clear relevance signal.
If you've got MS Word you can see how they embed styles for H tags in the style menu for use in the document. That can give you a clear idea of the academically proper use of H tags. And then when you generate a Table of Contents in MS Word, the software gives you a choice of how deep into the H tags you want the Table of Contents to display.