Petted, yes — picked up is a different question
For most rabbits, handling splits cleanly in two. Being stroked on the ground — a nose rub, fingers through the cheek fur, a hand running along the back while she lies stretched beside you — is something a bonded rabbit actively solicits, pushing her head under a resting hand and settling her chin flat to the floor in contentment. Being lifted is something most rabbits never learn to enjoy. In the wild, the only thing that lifts a rabbit off the ground is a predator, and that wiring survives every generation of domestication: lifted rabbits freeze, struggle, or kick with powerful hind legs that can injure both the rabbit's back and the holder's arms. A cuddle, for a rabbit, is a floor event.
The rabbits who seem to be exceptions
A minority of rabbits, often those handled very gently and briefly from babyhood by one calm person, will tolerate short periods held securely against a chest, and internet photographs of cradled rabbits usually show either those individuals or a frozen rabbit being misread as relaxed. Trancing — laying a rabbit on her back until she goes still — is not relaxation at all but a fear response, and it should never be used to manufacture a cuddle. The safest assumption for any new rabbit is that she is in the floor-affection majority, and the way to discover otherwise is to notice her choosing your lap on the ground, not to test her tolerance in the air.
Floor cuddles done the rabbit's way
Sit or lie on the floor at her level during her free-roam time and let her set the contact: most rabbits investigate, climb partly into an available lap, and present their head for stroking. Stroke the forehead, cheeks and back; avoid the chin, belly and feet, which most rabbits guard. Keep sessions inside her territory or play area so she can hop away and return freely — the freedom to leave is exactly what makes staying meaningful. A rabbit who flattens beside you, tooth-purrs softly while stroked, or falls asleep against your leg is receiving all the cuddling this species wants, and it is a lot.
When a rabbit must be lifted anyway
Vet visits, health checks and moving between enclosures sometimes require lifting, and doing it well keeps a necessary stress from becoming an injury. Scoop one hand under the chest and the other fully under the hindquarters so the back is supported along its whole length, lift her straight against your body, and hold her securely with all four feet against you rather than dangling. Keep the lift short, cover her eyes lightly if she panics, and set her down hindquarters-first onto a surface. Never lift by the ears or scruff alone, and never let a child carry a rabbit — a startled kick and a startled drop are the classic pairing behind broken rabbit backs.
Protecting a floor-only rabbit from loving visitors
The biggest handling problem for a settled rabbit is often guests: people who adore her and immediately scoop her up for the cuddle she hates, undoing her confidence in strangers. With KinsLe Family Sharing, her profile can be shared with the family members who help look after her, with her floor-only affection clearly part of how she is described, so the people around her offer the nose rubs she loves instead of the lifts she dreads.