Yes, it is technically possible to put a carousel in a bottom sheet in iOS using React Native. However, there are some important considerations regarding accessibility that we need to keep in mind. Let's break this down:

1. Technical Implementation: You can implement this using a combination of React Native components and libraries. For the bottom sheet, you might use something like react-native-bottom-sheet, and for the carousel, you could use react-native-snap-carousel or a similar library.

2. Accessibility Considerations: While it's possible to implement this design, it may present some accessibility challenges:

   a) Screen Reader Navigation: Users relying on VoiceOver (iOS's screen reader) might find it difficult to navigate through a carousel within a bottom sheet. The nested interactive elements could be confusing.

   b) Touch Target Size: Ensure that all interactive elements within the carousel are large enough to be easily tappable (Apple recommends at least 44x44 points).

   c) Contrast: Make sure there's sufficient color contrast between the carousel content and the bottom sheet background.

   d) Motion Sensitivity: Some users may have issues with motion sickness. Provide a way to reduce motion or disable animations.

To implement this in a more accessible way, consider the following:

1. Use proper semantic markup (in React Native terms, this means using the right combinations of accessible and accessibilityRole props).
2. Ensure that all items in the carousel can be accessed via swipe gestures when using VoiceOver.
3. Provide clear instructions for how to navigate the carousel.
4. Include options to pause or stop any auto-advancing features of the carousel.

Here's a basic example of how you might structure this in React Native:

This example provides a basic structure for a carousel within a bottom sheet, with some accessibility considerations. However, to fully pass accessibility guidelines, you would need to:

1. Test thoroughly with VoiceOver to ensure all elements are properly announced and navigable.
2. Implement a way for users to opt-out of carousel auto-advancement if implemented.
3. Ensure all text has sufficient color contrast with its background.
4. Provide alternative navigation methods for the carousel (e.g., next/previous buttons) for users who may have difficulty with swipe gestures.

Remember, while it's technically possible to implement this design, it's crucial to consider whether this is the best user experience for all users, including those with disabilities. Always test your implementation with actual users, including those who rely on assistive technologies, to ensure it meets accessibility standards and provides a good user experience for everyone.

You can implement a carousel within a bottom sheet in iOS using Swift. Here's a basic implementation using UIKit, along with some considerations for accessibility:

This implementation creates a bottom sheet with a carousel (implemented as a UICollectionView) inside it. Here are some key points about accessibility:

1. Accessibility for Bottom Sheet:

   • The bottom sheet view is set as an accessibility element.
   • It has an accessibility label and hint to describe its purpose and how to interact with it.

2. Accessibility for Carousel:

   • The carousel (UICollectionView) itself is not set as an accessibility element, but its items are.
   • Each cell in the carousel can be made accessible individually, allowing VoiceOver to focus on and read out each item.

3. Gesture Handling:

   • The pan gesture for the bottom sheet is implemented, allowing users to drag the sheet up and down.
   • For accessibility, you might want to add alternative methods to adjust the sheet size, such as buttons or voice commands.

4. Carousel Navigation:

   • Users can swipe through the carousel items.
   • For better accessibility, you might want to add next/previous buttons for users who have difficulty with swipe gestures.

To further improve accessibility:

1. Ensure all text has sufficient color contrast with its background.
2. Implement VoiceOver support for each carousel item, allowing users to hear a description of each item as they navigate through the carousel.
3. Consider adding haptic feedback when the bottom sheet snaps to different positions.
4. Test thoroughly with VoiceOver to ensure all elements are properly announced and navigable.

Remember, while this implementation is technically possible and can be made accessible, it's important to consider whether this UI pattern provides the best user experience for all users, including those with disabilities. Always test your implementation with actual users, including those who rely on assistive technologies, to ensure it meets accessibility standards and provides a good user experience for everyone.