Are there other covid-19 vaccines coming soon besides pfizer and moderna?

There are a few coming: The most promising vaccine candidates that are undergoing the final "phase III" clinical trials include the AstraZeneca/Oxford University AZA-1222 vaccine, and Johnson & Johnson Ad26.COV2.S vaccine. These vaccines put COVID-19 DNA inside a different virus (adenovirus) that carries the COVID-19 protein sequence into cells, which make messenger RNA (mRNA) from the viral DNA, which enables the cell to manufacture the COVID-19 spike protein, which triggers the production of antibodies that protect you from the virus. There is a third vaccine that also shows promise: Novavax NVX-CoV2373. This vaccine includes the actual spike protein along with an immune-boosting chemical (adjuvant) to trigger your immune response to COVID-19. None of these potential vaccines contain the actual COVID-19 virus. Reference: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597597/

Vaccine development: Yes, there are a number of vaccines currently in development. The following articles lists 9 of the vaccines by type of vaccine, stage of testing, company affiliation and Country of origin. https://www.forbes.com/sites/moneyshow/2020/06/16/9-pharmaceutical-companies-racing-for-a-covid-19-vaccine/?sh=28b8de9776ad