I got fired from my former job mid way through interviewing for a new one so my resume showed I was still working there. Can a new job offer be rescinded because I was fired from my previous job?

I'm on the last stage of interviewing for a company. All the interviews have gone well so far, I have all the experience they're looking for and I think I may get the job (obviously don't know yet). The thing is I was fired from my previous job in the midst of this interview process. When I applied I was still employed so my resume said my current job "to present". I've changed it since and I haven't been asked about it interviewing. They also don't know I've been let go and I haven't volunteered the information. I mean the truth behind my firing is my bosses were not good bosses and no one has stayed on the team for a year or longer without quitting or also being fired. My exit interview with HR went fairly well I suppose in terms of exit interviews so I don't think I left with a totally bad impression (except with my bosses). I have plenty of coworkers that said they could be references because they know I was good at the position and my firing wasn't justified (it's a long story). Are the odds of getting an offer rescinded very high?

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