Yes

The answer to your question is yes.
Anything is possible.


Sepsis-like syndrome in a patient after Fecal Microbiota Transplant

http://www.microbiomeinstitute.org/blog/2015/11/12/sepsis-like-syndrome-in-a-patient-undergoing-fecal-microbiota-transplant




But, the main underlying cause of sepsis is use of Antibiotics .
And, as Fecal Transplant is used to reverse damage caused by Antibiotics , it can cure sepsis.
Fecal transplant is actually used as a treatment for sepsis.



Successful treatment of severe sepsis and diarrhea after vagotomy utilizing fecal microbiota transplantation: a case report

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4346118/




Successful treatment with Fecal Microbiota Transplantation in patients with multiple organ dysfunction syndrome and diarrhea following severe sepsis
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5067912/


Fecal Microbiota Transplantation for Severe sepsis and Diarrhea : a Case Report.
http://www.global-summit.com/speaker-pdfs/2014/qiurong-li-nanjing-university-school-of-medicine-r-nchina.pdf