No. This is a common misunderstanding and is caused by people assuming that Bach remedies are as delicate as homoeopathic remedies. In fact they are very robust.
The remedies aren’t affected by x-ray machines at airports, barcode readers or radiation from screens. You can keep them by the television or take them through security scans without fear. And there’s no problem keeping them in the fridge. The only things to avoid are heat and direct sunlight – both of which can make the brandy preservative go stale.