Dear Shubhadeep,

Well, according the previous year cut-off trends .. yes , you are eligible to get admission in FIEM with your WBJEE GMR  and home state category ..But, remember .. every year's cut off depends on the following factors :

• Seat Matrix
• No of students applied for WBJEE
• Difficulty level of question paper

You can refer to this link to know more details about previous year cut off in FIEM for B.Tech in various branches .

https://www.careers360.com/colleges/future-institute-of-engineering-and-management-kolkata/cut-off

You can also use this WBJEE college predictor link to know your chances for getting admission in this as well as other colleges based on your rank!

Hope this information helps  !

Best wishes !