Questions & Answers about On stalno nosi bocu vode sa sobom.
You can absolutely drop On here.
- On stalno nosi bocu vode sa sobom. – He always carries a bottle of water with him. (neutral, maybe slight emphasis on he)
- Stalno nosi bocu vode sa sobom. – (He) always carries a bottle of water with him. (most natural in context)
Croatian is a “pro‑drop” language: the verb ending -i in nosi already shows it’s he/she.
You keep On mainly:
- to emphasize he (contrast: He does, others don’t)
- at the start of a new topic or when it’s not clear who you’re talking about.