Most likely.
Best advice is to soak it in just plain water for two or three days. I use those big cheap and cheerful garden trugs. That'll loosen all the dirt and stink. Then rinse it really well in clean water. Add soap to just warm water (rub up ordinary hand soap if that's what you have) and soak the jacket again, but this time move it around gently in the water. Don't rub, don't compress, don't squeeze, 'cos that makes felt.
Rinse, and rinse and check over for any really grubby bits. Usually the collar, cuffs and underams, but maybe the skirt hems and the jacket fronts. If they're not clean you'll need to look at the marks to best decide how to get them out. Once you're happy, do a last rinse in either fabric conditioner or woolproofing stuff.
Either way, to dry the jacket lay it out in a bath overnight so that it can drain supported. Take a bath towel and roll the jacket up in it. You can squeeze gently to remove more excess water from it. At this point you're trying to lighten the jacket without stretching it out of shape. Then take a decent coat hanger and pad it up with a dry towel. Put the jacket on the hanger, roll up more towels to pad out and reshape the shoulders/upper arms and sleeves (stuff them if necessary). Straighten everything on the hanger and put it somewhere with gentle warmth or loads of fresh air, to dry. Work the jacket as it dries. It won't come up crisp, but it should come up fresh and tidily shaped and wearable. If you have and know how to use them then tailor's hams and sleeve boards will let you press the jacket. Otherwise I'd be very, very careful with a good damp linen teatowel and an iron.
You could send it to the cleaners, but tbh, dry cleaning is very hit or miss with stuff like that. It's unlikely to damage the jacket, but it doesn't always get deep gunk out of the fibres. It doesn't remove water based stuff well….like organicy stuff from horses, iimmc? It's good at dissolving things though, so buttons and the like need care. It can leave wool like much washed hair with no conditioner added.
Best of luck with it
M