As of right now, implementing the Algolia extension on Hyvä requires customization.
Our Magento extension (like many other third-party Magento modules/extensions) is built for Luma and would have to be run through a Hyvä-provided compatibility module that converts Luma-based templates to Hyvä templates. You may find the explanation this 3rd party video helpful.
We have noticed some work related to compatibility between Algolia and Hyvä being done in Hyvä's public repo, so it may be worth checking back occasionally for developments.