Yes, there is a possibility of getting a job in Finance or Consulting despite having a specialization in Information Management. The chances are low though and vary for every role.
Consulting: It is a very broad domain and comprises both Functional (Operations, Finance, HR) and Industry area (Automotive, FMCG, Electrical, Oil and Gas). The interviews for consulting roles revolve around the projects that a company is involved in. Hence, your specialization in Information Management is irrelevant.
There are many companies with dedicated BUs/areas for IT/Tech Consulting. They give r more preference to IM specialization and students with prior exposure and experience in technology.
Apart from consulting, other domains like Marketing, Operations, and Finance have little scope for IIM specialization. This is because companies prefer candidates with prior experience or current specialization in the required area.
My advice to you would be to select your minor specialization as your area of interest. So it’s possible to get a job in consulting despite having IM specialization but the probability is low for most of the domains.