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.