Not really. Factors that affect it include
- size of the town it's located in. A uni doesn't support nightlife to quite the extent you might imagine, so a sizeabe population of locals is needed too. Hence, the likes of Loughborough only have on nightclub + their union. In smaller towns, the SU is far more important than it is in cities like Bristol and Manchester.
- size of the uni itself. You need a good size student population to form a good variety of societies, and there almost seems to be something of a critical mass effect. Otherwise, you can end up like Liverpool Hope (7,800 students, and only 12 sports on offer, two of which are football varieties, plus 28 societies... which isn't very many)