Yes, you can do that. I heartily encourage it. Once a poem has been posted -- whether as a freebie or sponsored work -- it becomes free for everyone to read and enjoy. Share it with anyone you think would appreciate it. Use it as a part of conversation.
I have written poems on pretty much every topic that ever caught my interest. A lot of the Standalone Poems are topical in ways that make them useful for posting as comments on that theme. Don't see a poem on the topic you need? Ask me, I may be able to find one in my archives. If not, you can always prompt for it during any relevant prompt call. If you have a preferred tone or stance, include that in your prompt and I'll do my best to incorporate it.
Suzette Haden Elgin used to post recipes as comments in hostile threads, as a way of offering a more peaceful approach to communication than arguing. Me, I like to use poetry. If I can help make the internet more literary and less flamey, I will be a very happy bard indeed. :D