Cost of DynamoDB paginated query

If DynamoDb's paginated query feature is used, will the cost of getting the first page of results be equal to the cost of getting all page's results?

I only want to know know if any records match a query of how many records have a partition key value matching a specific value and a sort key value less than a specified value, so I was thinking of using a paginated query with a limit of one. If the query returns any results for the first page then I know there's a match. I want to avoid fetching every record, because often there will be hundreds of thousands of matches but I only need to know if there is at least one.