Depends on what you mean by “determinism.” If you mean that “God foreordains every single thing that happens, including our own choices,” then no Calvinists (at least none that I’m aware of) are determinist.
I think that what you’re reaching for is the difference between infra-lapsarian (i.e. “single” predestination) Calvinism and supra-lapsarian (i.e. “double” predestination) Calvinism. The former teaches that God’s decree of Election is co-dependent (infra) upon His decree to allow the Fall (lapsus) while the later teaches that God’s decree of election is superior (supra.) It’s not that He made those decrees in a chronologically different order (since these decrees were, in the Calvinist view, made before God created time), it’s that certain decisions are logically dependent on other decisions that God made.
The practical upshot of these different views is that while all Calvinists (including myself) believe that the Elect are chosen individually by God, some Calvinists believe that the reprobate are condemned generally in Adam while some Calvinists believe that the reprobate are condemned individually. Or, to put it another way: infra-lapsarians believe that we all, left to our own devices, are damned but God, in His mercy elects some to salvation while supra-lapsarians believe that each individual is either damned or saved by name before the creation of the world and is acted upon supernaturally by God to either harden or soften their hearts towards Heaven or Hell, respectively.
I am definitely in the infra-lapsarian camp, as I think you will find are most New Calvinists. Old Calvinists tend to be supra-lapsarian, although most Calvinists (including myself) tend to see it as a distinction without a difference.