Only if it's the right shape. The original pudding was made in a cloth tied up into a ball shape, and a pudding basin tries to have those sort of proportions, so a wide topped bowl wouldn't do. It's like a large tea-cup? And the sizes are measured in pints.

This link should take you to a picture. If it doesn't, search for pudding basins.

Basins

Penny

---

--- Link fixed. Closing quotes added ---
-- PA --