By predates, if one means Henri was born 10 years prior, and died 6 years earlier than Hegel, then
you are correct.
Yet, if one were to look at dates of published works on socialism of both men that lived concurrently, the point is moot as a which came first, as a chicken or the egg debate.
Henri's published works spanned 1802-1825
Hegel's published works spanned 1807-1821 yet made significant revisions in 1827,1831
As to which man's socialism inspired the writings of Marx or Engel more, well I'm satisfied to say that both men had their marked influence upon Marxism, and both German Hegel and French Henri forged out of the Napoleon era, left something for those Utopian Dreamers Marx and Engel.
Henri:
Saint-Simon's conceptual recognition of the merits of broad socioeconomic contribution and Enlightenment-era valorization of scientific knowledge inspired and influenced utopian socialism,[4] utilitarian political theorist John Stuart Mill,[6] anarchism (through its founder, Pierre-Joseph Proudhon),[7] and Marxism—Karl Marx and Friedrich Engels identified Saint-Simon as an inspiration for their ideas and classified him among the utopian socialists.[4]
Source: https://en.wikipedia.org/wiki/Henri_de_Saint-Simon
Hegel:
Among the first followers to take an expressly critical view of Hegel's system were those in the 19th-century German group known as the Young Hegelians, which included Feuerbach, Marx, Engels, and their followers. The primary thrust of their criticism is concisely expressed in the eleventh of Marx's "Theses on Feuerbach" from his 1845 German Ideology: "The philosophers have only interpreted the world, in various ways; the point, however, is to change it."