Yes, "-ist" is a gender-neutral ending. In general, English designations are not gendered. The primary exception to this is a designation ending in "-ess" ("waitress" vs male "waiter", "stewardess" vs "steward", and many royal designations including "countess" vs "count", "duchess" vs "duke", and, of course, "princess" vs "prince").
Notably, "-man" (commonly pronounced "mun" or "m'n"; phonemes are important when discussing etymology) is often also ungendered despite assumptions to the contrary. You can have a female "fireman" or a female "policeman", or so on. Female-branded terms for females such as "policewoman" and gender-neutral terms like "firefighter" also exist for those who prefer not to use the "-man" version, but there is nothing linguistically wrong with a female "fireman" (but there is something wrong with a male "policewoman").