Yes, there are multiple flights from Hong Kong to Lviv International for under HK$6,981. The cheapest flight booked recently is on Turkish Airlines for just HK$6,919, but on average you can expect to pay HK$9,145.
There are no direct flights from Hong Kong to Lviv International, but Cheapflights can provide you with all the information you need to find the fastest route with the fewest stops.
Airlines like Turkish Airlines and KLM fly from Hong Kong to Lviv International in about 15h 45m. The time it takes to get you to your destination can typically vary by up to 19h 45m. This flight may include one or multiple stops.
Flying on Turkish Airlines is currently your cheapest option to Lviv International, with prices starting at HK$6,919. Another option worth looking into is KLM, starting at HK$11,372 return.