Will a fiddler crab be able to live in a one gallon tank?

im wonderin will a fiddler crab be able to live in a 1 gallon tank i have 1 fiddler crab in a 1 gallon tank an so far its lived 3 weeks an it doesent have a filter or anything well its got algea an a shark cave an it gos upside down in the shark cave whenever it see's my cat Timmy an it has a big cave that it can get out of water?