Alexander Dewdney generalized the Havel--Hakimi algorithm for standard graph degree sequences to hypergraphs in 1975: Degree seqences in complexes and hypergraphs, *Proc. Amer. Math. Soc.* 53, 535-540. 

You might also look at Sarah Behrens et al., New results of degree sequences of uniform hypergraphs, *Electron. J. Combin.* 20 (2013) P14.