Hi yes each member of staff that's not had this training and is part of the food handling process, will need to. Unless the colleague who undergoes the training achieves the necessary qualification to become a trainer everyone will need to complete their own.
There are a few online providers, you might also find your local early years department funds or sources food hygiene training that offer certificates for the settings in their area -
find your local gov website.
Safer food resources on food.gov.uk and
FSA in Wales are recommending this accredited, city & guilds L2 certificate provider
virtual college
Hth