Career Move from Economic Consulting to Real Estate

Hello everyone. I am a seasoned analyst at a leading economic consulting firm (think BRG, FTI, NERA, CRA) where I have worked on antitrust, damages, and financial market engagements since graduating from undergrad a few years ago. I am considering next steps for my career and would appreciate some feedback/advice. 

For some background, I did not have an upbringing with exposure to adults/mentors who worked in a white collar or professional setting. I was the first in my family to graduate from college and although I had immense love and support, I didn't have much direction... so I never really had a plan going into college. I didn't know what IB or PE was and never would have even dreamed of pursing a law or medicine career track. I chose to study accounting and economics because together they seemed like a broad and safe choice and eventually that led me to economic consulting. Though I am thankful for this experience, I do not have much interest in the work I do and do not see a long-term career at my firm or even in my industry. I am sick of statistical programming. I need something more tangible, interpersonal, and exciting. The past few years of my professional experience, personal reading/research, and delving into various interests has fostered an interest in pursuing a career in real estate finance/investment. 

So... Do I have any shot at breaking into this field? If so, what would be a wise starting point in terms of roles to get my foot in the door without taking too much of a step back in my career? Based on my own look at past forums and other resources, it sounds like REIB analyst roles are a common way to start a career. I've also seen postings of REPE acquisitions/am analyst programs that recruit students straight out of undergrad. Am I too far into my career to be accepted into one of these programs? Do I need an MBA to even get my foot in the door of an interview somewhere? If anyone came from economic consulting or some other atypical route, I would especially love to hear what you did.

I'm currently studying for the CFA Level 1 Exam. Aside from that, I am just killing it in my current role and trying to make better sense of what I need to do to set myself up for a successful transition in the meantime. 

I appreciate any advice, feedback, or criticism anyone has to offer. Thank you.