Query Regarding Project Allocation and Relocation🥲🥲🥲

I have completed 1.8 years in my base location, and I am currently looking for a project in Bangalore. I have already been released from my previous project. I asked RMG to help me find a project in Bangalore; however, I will only be completing 2 years in the next 4 months.

My doubt is: if I get allocated to a project in my current base location, will the project manager agree to my relocation after 4 months once I complete 2 years?