If cbc-esr report show eosinophils 08(normal value 1-6) and if i accidently while trying to have a self induced vomit to get relief from stomach acid gets small cut on inside of throat from finger nail that bled little..will eosinophils attack that?

The eosinophils have no action to the scratch in your throat. If you have some types of allergy, eosinophil percentage may go up, condition is called eosinophilia. However, 8% is not that high, commonly seen without any noticeable issue.

Your self induced vomiting is of more concern than your eosinophil count or the cut in your throat. If you have stomach issues, see a doctor for it. You are likely to do yourself more damage to yourself with induced vomiting.