Yes, WebP files can be too big
WebP earned its reputation as the small format, but the format cannot save you from a bad quality setting. Export tools and converters that default to quality 95–100 produce WebP files bigger than a sensible JPG. If a "small" WebP is weighing megabytes, its quality setting is almost certainly the culprit.
Re-encoding at 75–80 restores the size advantage WebP is supposed to deliver — commonly 30–60% smaller than the over-saved original with no visible change.