There are no external oil lines on the b21a1. All the oil is contained within the engine. The oil cooler is cooled by engine coolant, and is located under the oil filter.
Are you sure it's engine oil? It's common for the power steering pump or lines to leak and spray oil all over the engine bay.
Anyway, here is a link to an online factory service manual. It's mainly for the 88 Prelude, with supplements for 89 and 90. But the b21a1 and the b20a5 are identical as far as the oil flow is concerned...
Honda Shop Manuals - 1988 Prelude