Yes — strawberries are vitamin-rich and loved by almost every parrot. Just wash them very well.
What it means for budgies
There's nothing specific to a budgie that changes the verdict on strawberries — it's treated the same as for parrots generally. A budgie portion is tiny — a single bite or a little grated amount is plenty.
The full picture on strawberries
Strawberries offer vitamin C, manganese, and folate, and their seeds and leafy tops are harmless. The only real concern is agricultural: strawberries consistently rank among the most pesticide-laden crops, so washing matters more here than for most fruit.
Wash thoroughly or buy organic; the tops are safe to leave on.
Halve or quarter for small species.
A messy fruit — schedule it before cage-cleaning day.