If it's is erosive then direct answer is yes blood in stool can be pressent due to this.
But still it needs further evaluations like,what's the colour of blood you see it's it bright red or dark red/reddish-black?
Blood comes along with stool or with gush after passing stool.
Next Steps
You should definitely go for,
endoscopy/ stool examination.
Health Tips
Avoid oil and spicy food from diet take excessive soft or liquid diet till it cures completely.Continue medicine for gastritis.