Was there rain and thunder when they crossed the Red Sea as alluded in Psalms 77:15-20?

This Psalm seems to point out that there was rain and thunderstorm during the night they crossed the Red sea

Psalms 77:15-20 NASB

15You have by Your [j]power redeemed Your people,
The sons of Jacob and Joseph. Selah.16
The waters saw You, O God;
The waters saw You, they were in anguish;
The deeps also trembled.
17
The clouds poured out water;
The skies gave forth a sound;
Your arrows [k]flashed here and there.
18
The sound of Your thunder was in the whirlwind;
The lightnings lit up the world;
The earth trembled and shook.
19
Your way was in the sea
And Your paths in the mighty waters,
And Your footprints may not be known.
20
You led Your people like a flock
By the hand of Moses and Aaron.

The narrative of that event in Exodus only tells us of a strong east wind which pushed the water backwards.

Exodus 14:21 NASB

21 Then Moses stretched out his hand over the sea; and the Lord [l]swept the sea back by a strong east wind all night and turned the sea into dry land, so the waters were divided. 22 The sons of Israel [m]went through the midst of the sea on the dry land, and the waters were like a wall to them on their right hand and on their left.

Was there rain and thunder the night they crossed the Red Sea?