Do you mean wood ash from a fire Kaekoplayle? You can spread it on your veggie bed so long as it is pure wood ash.

Contains potash, good for flowers and fruit. Keep it dry before you use it as the potash is very soluble in water. Don't put it on your raspberries and don't use it if it has any other sort of ash mixed with it.

If your soil is chalky, you might also want to put on extra compost at the same time, to counteract the alkalinity.
Definitely don't use coal ash, though. It has too many toxic metals in it.