You certainly can, readers love discovering new books.
There are a few options you can have:
Guest post - where you submit a post about writing, reading, favourite genres etc., basically anything that might interest a reader.
Giveaway - I can host a giveaway of your book.
Book spotlight - I can include the book cover and a short excerpt of your book along with any buy links etc. you'd like.
If you'd like to do any of the above, please send me an email at firstname.lastname@example.org with Promo for Authors in the subject line and we can organise a date for your post. I will promote guest posts, giveaways and book spotlights on my Twitter and goodreads page.