Not exactly. The sun is always shining on parts of both the northern hemisphere and the Southern Hemisphere. As the Earth is tilted, there are times when it shines on more of one than the other. At the point it is shining on its maximum amount of one hemisphere, it is a solstice. It is still shining on the other hemisphere too, but just not as much as it is at other times. That happens in June, when it is mostly shining on the northern hemisphere, giving it longer days and shorter nights, and in December, when it is mostly shining on the southern hemisphere and it has the longer days and shorter nights.
When the sun is directly over the Tropic of Cancer, it is the winter solstice in the southern hemisphere.
That would be the June 21 solstice, which northern Hemisphere refer to as the "Summer" solstice.
Assuming the observer is in the North, then the southern hemisphere would be tilted towards the sun during the Winter Solstice in December. However, for observers in the Southern Hemisphere, the Winter Solstice would occur in June, and the northern hemisphere would be tilted towards the sun.
In the northern hemisphere's summer solstice, around the 21st of June, the northern hemisphere is tilted towards the sun. In the southern hemisphere's summer solstice, around the 21st of December, the southern hemisphere is tilted towards the sun.
In the northern hemisphere, this would be June, while in the southern hemisphere it would be December. The longest days of the year are always around the summer solstice when the sun shines the longest in that particular hemisphere.
When the sun is directly over the Tropic of Cancer, it is the winter solstice in the southern hemisphere.
That would be the June 21 solstice, which northern Hemisphere refer to as the "Summer" solstice.
At both the winter and summer solstices, the Earth is tilted towards the sun. What differs is which hemisphere is tilted towards the sun. In the northern hemisphere at its winter solstice, the southern hemisphere is tilted towards the sun, while the northern hemisphere it tilted away from the sun. In the southern hemisphere at its winter solstice, the northern hemisphere is tilted towards the sun, while the southern hemisphere it tilted towards the sun. When it is the winter solstice in one hemisphere, it is the summer solstice is in the other hemisphere. For a winter solstice, that particular hemisphere is tilted away from the sun.
The sun shines directly down on the Tropic of Capricorn on the summer solstice in the Southern Hemisphere.
Assuming the observer is in the North, then the southern hemisphere would be tilted towards the sun during the Winter Solstice in December. However, for observers in the Southern Hemisphere, the Winter Solstice would occur in June, and the northern hemisphere would be tilted towards the sun.
The Northern Hemisphere is tilted closest to the sun during its summer solstice, when the southern hemisphere is pointed away during the winter solstice.