Product Page – Check if Product Has Upsell Products

In your templates local.xml you can remove the block by adding the following snippet. This however only works if you use the Magento base or RWD theme

<catalog_product_view>
   <reference name="product.info">
      <remove name="product.info.upsell"/>
   </reference>
</catalog_product_view>

The main problem with your code is that you are using ObjectManager::get().
This will always return the same instance of the class you pass as parameter. It acts similar to Mage::getSingleton() in magento 1.
For a quick fix use $objectManager->create('Magento\Catalog\Model\Product').
But this is not the proper way to do it. You should use the object manager only in factories, and even there you should inject it in the constructor. You should not retrieve the instance like you do ObjectManager::getInstance();.

You should use the product factory instead.
Something like this:

<?php

namespace YS\India\Block;

use Magento\Framework\App\ObjectManager;
use Magento\Catalog\Block\Product\AbstractProduct;
use Magento\Catalog\Model\ProductFactory;

class Upsell extends AbstractProduct
{
    protected $productFactory;
    public function __construct(
        \Magento\Catalog\Block\Product\Context $context,
        ProductFactory $productFactory
    ) {
        $this->productFactory = $productFactory;
        parent::__construct($context);
    }

    public function getUpSellProducts()
    {
        $product = $this->_coreRegistry->registry('product');

        $upSellProductIds = $product->getUpSellProductIds();

        if(isset($upSellProductIds)){

            $products = array();

            foreach($upSellProductIds as $productId) {
                $product = $this->productFactory->create()->load($productId);
                $products[] = $product;
            }

            return $products;
        }

        return null;
    }
}