Certainly not impossible. Consultancies as a broad rule are looking for more specialised and specific experience these days than the career changer model. Howevere, the shoft will be easier if you aim for consultancy roles that directly leverage your experience e.g. consultancy divisions of property/FM companies or asset mgt practices of broad-based consultancies. You'll recognise the firms most relevant to your experience but I think DTZ have a good reputation in this area.