Possibly, but there's no direct quote, he said he would stay on, but he didn't mention that he was even considering the possibility of losing. If he was openly talking about losing and resigning, people would be posting pictures of white flags being waved. ![Wink ;)](https://www.redandwhitekop.com/forum/Smileys/default/wink.gif)
It's clear as day it was put to him. If you assume your first question is correct, then he was probably asked something like this in the follow up (hence why Buzzfeed have confidently paraphrased that he won't quit):
Q1 Will you still be leader after the election?
A1 "I was elected leader of this party and I’ll stay leader of this party,"
Q2 Ok but what about the constant criticism and poor poll ratings. What if you end up losing the election?
A2 No matter what happens on 8 June, he said, he would be "carrying on"
Verbal conversational (not live) interviews, especially with serial equivocators like Corbyn, don't always produce a nice direct quote for you. You can choose to ignore it in the vain hope he hasn't said that though.
I'm sure a Corbyn fan on Twitter will berate the journalist with a similar complaint, so we'll probably get a clarification soon enough.
PS you didn't share whether leadership election loss you predicted Corbyn would suffer in the summer was what you were hoping for.