What is the difference between 紧迫 and 急迫？
I have a Chinese thesaurus dictionary (现代汉语同义词词典) . It does not compare 紧迫 with 急迫 directly but compares 紧迫 with 紧急 and 急迫 with 急切.

To summarize


紧迫 is subjective and 急迫 objective. 
紧迫：～感|任务～|形势十分～ 
急迫：情况～|～的任务


紧迫 is definitely much more widely used both in written and oral Chinese. It feels as if you can use 紧迫 to replace 急迫 and it is still fine but not vice versa.

About the comparison mentioned above, it is dauntingly long even for a native speaker. If you are interested, check it here https://pastebin.com/b8tGSeNF