means An animal's skin with the fur or hair still attached, especially one stripped off and used or traded as a hide; also, separately, to throw things at something repeatedly or to rain down hard.

from The fur sense likely comes from Old French 'pelete,' a diminutive of 'pel' meaning skin, descending from Latin 'pellis' (skin or hide) — the same root that gives us 'pelisse' and is a cousin of 'film' and 'fell' (a hide). The throwing/raining sense, oddly, may be unrelated: its origin is genuinely uncertain, possibly tied to Latin 'pellere' (to drive or beat) or simply imitative of repeated blows. Two words, one spelling, sharing a coat.