The person next to me spilled coffee so could I get something to wipe with?
Could I get a cloth? Someone next to me spilled coffee.
The person sitting next to me = 隣に座ってる人
Someone next to me = 隣の人
Wipe = 拭く
Spilled = こぼした
“The person next to me spilled coffee so could I get something to wipe with?” = 隣に座ってる人がコーヒーをこぼしたので拭くもの下さい。
“Could I get a cloth? Someone next to me spilled coffee.” = 拭くものもらっていいですか?隣の人がコーヒーをこぼしました。
頼み事をする時は:
“Could I ..?”
“Would it be possible to...?”
“Would I be able to ..?”