Yes, however, "cured ham" can be "cured" in many ways: honey, smoked, etc. In Googling images of "cured ham", I came across one which was sort of a compromise for the equivalent we need for "jambon sec" : dry-cured hamCareful:
Résultats 1 - 10 sur un total d'environ 789 pour "dry ham"
Résultats 1 - 10 sur un total d'environ 24 500 pour "dried ham".
Résultats 1 - 10 sur un total d'environ 302 000 pour "cured ham".
Cured ham is the only term of the three that I've heard with any frequency (though that doesn't mean it's necessarily the correct translation. I don't see a lot of jambon sec in Kansas...). A google image search could be useful to confirm if it's what you're really referring to.
Yes, although that's more a description than what it is called in English.I suggest dry-cured ham