Pretty much. We don't have (efficient) ways to cause a thermonuclear explosion with anything else than a fission bomb. Some design, like the nightmare that would have been a completed Tzar Bomba, even have a third fission stage triggered by the fusion explosion. Whether the monstrously augmented nuclear fallout is a feature or a bug is left as an exercise to the ruler.
However, most nuke builders are not that insane and modern nukes have a relatively small fission stage, with most of the energy coming from the fusion stage.
You can cause fusion with, say, a laser, which is used to continue research on fusion bombs without having to do those pesky live tests. But using a laser to detonate a fusion bomb is apparently far out of the grasp of today's technology.
This is why there is a minimum size to nuclear bombs, as you can't have a fission bomb smaller than the critical mass (about a few kg IIRC). This is also why bomb-pumped lasers are unfeasible today, as the explosive used to trigger the fission bomb shake the targeting rods before the fission itself is triggered and can pump X-rays.
The good news is, though, that with the incredible progress that are made with antimatter mastery, we may have in the next decades the capabilities to produce and stock micrograms of the blasted stuff. One of the main applications is to trigger fusion reactions without needing the fission stage, making all those problems (including most fallout) going away. Oh, and you can also use it for nuclear fusion space propulsion if you are a boring person. But come on, who would be interested in that?