Can my Google rankings increase by scheduling photos and posts to my Google Business Profile?

Posting weekly to your GBP is a best practice that we recommend in your overall Local SEO strategy.

There is no evidence that Google My Business posts directly affect rankings for keywords that appear in the content. Use them primarily to engage with your audience. However, your listing's engagement (click & views) is a ranking factor. Also, by posting each week, for example, Google knows that the business owner is paying attention to a listing. This increases the trust factor that Google has towards a listing, increasing rankings.