Yes, but that sort of thing isn't included as part of a normal Spotify subscription. It looks like Spotify has support for podcasts subscriptions, but it's all on a one off basis as far as I can tell.

Out of the podcasts I listen to, I'm not sure a single one uses Spotify for subscriptions. Commonly it seems to be Patreon.

With all of that being said, many quality podcasts have jarring ad segments on purpose. Partly it serves as an ad for the ad-free feed but they also serve as a way to inform the listener that the following words aren't the podcasters' own and they were paid for an endorsement.