Bands can build muscle for beginners and travel, but their variable, capped resistance makes progressive overload hard long term.
The quick answer
Resistance bands can genuinely build muscle, especially for beginners and travel, because muscle responds to tension and effort near failure, not the source of the load. Their limits are real though: resistance rises as you stretch the band so the hardest point may not match the muscle's strongest range, and it is hard to measure and add load precisely. For steady long-term progress you will eventually want adjustable dumbbells or a gym to overload cleanly.
How to think about it
Tension and failure drive growth
Muscle grows from high tension and sets taken near failure, and bands deliver both when you use a heavy enough band and push close to failure. For a beginner or on the road, they are far better than nothing and build real muscle.
Variable resistance is a trade-off
Bands are easiest where the muscle is often strongest and hardest at full stretch, which does not always match a muscle's natural strength curve. It still works, but the loading is less optimal than free weights across the full range.
Overload gets tricky
Progressive overload needs measurable jumps, and bands only come in coarse steps, so fine progression is awkward. You can add reps, slow the tempo, and combine bands, but long term dumbbells or a gym let you overload more precisely.
Do this
Pick a challenging bandUse a band heavy enough that you reach near failure in your target rep range.
Train close to failurePush sets to within a couple reps of failure to make band tension count.
Add reps and tempoProgress by adding reps and slowing the lowering phase when load steps are too coarse.
Plan an upgrade pathAdd adjustable dumbbells or gym access when bands stop letting you overload.