External noises can impinge upon your mental well being at times.
Noise pollution that's out of your control can lead to mental distress sometimes.
to impinge upon を使った言い方:
ーExternal noises can impinge upon your mental well being at times.
「外部からの騒音は時に精神的な健康に影響を及ぼすことがある」
to lead to を使っても表現できます。
ーNoise pollution that's out of your control can lead to mental distress sometimes.
「あなたが管理不能な騒音は、時に精神的苦痛につながる」
ご参考まで!