My first attempt at this ever. Here goes. Lemme know if you find something that works better.
Capo on 2nd fret.
The chord names look complicated af, but in practice they're simple.
C Cadd2 C/E G6add7 Csus4 G6sus4 C/G Fsus2 G7 Cadd9
E 0----- 0----- 0----- 0----- -1---- 0----- 0----- -1---- -1---- 0-----
B -1---- -1---- -1---- -1---- -1---- -1---- -1---- -1---- 0----- ---3--
G 0----- 0----- 0----- 0----- 0----- 0----- 0----- 0----- 0----- 0-----
D --2--- 0----- --2--- 0----- ---3-- 0----- --2--- ---3-- 0----- --2---
A ---3-- ---3-- 0----- --2--- ---3-- ---3-- ---3-- X----- --2--- ---3--
E 0----- 0----- 0----- ---3-- X----- ---3-- ---3-- X----- ---3-- X-----
C Cadd2 C/E C G6add7
Va-a-a-a-a---att--net svart
C Cadd2 C/E C
Som må-å-å-å-å---ån--en full
Csus4 G6sus4 C/G G6sus4
Varm nattbris vis-----ka---ar
C Cadd2 C/E C G6add7
Wa-a-a-a-a---at--er black
C Cadd2 C/E C
As the moo-oo-oo-oo-oo-oon is full
Csus2 G6sus4 C/G G6sus4
Warm nightbreeze whis----pe---ers
Csus4 G6sus4 C/G G6sus4
I'm naked and ne---ew
C Em Fsus2 G7 Em
I know you're always throwing kisses from the sky
C Em G6add7 Em G6add7 Am
Well, to-night I caught o------one
C
Sixteen years old
Cadd9 C
I dare to swim further out
Cadd9 C Cadd9 C Em
I know you're always throw-ing kiss-es from the sky
G6add7 Em G6add7
Well, to-night I caught one
C Cadd2 C/E C G6add7
Som o-o-o-o-o---om man kunde
C Cadd2 C/E C
Vid-rö-ö-ö-ö-ö---öra ly-cka
Csus4 G6sus4 C/G G6sus4
Jag virar den runt mig som en fi-i-i-i-i-i-lt
C Cadd2 C/E C G6add7
Like jo-o-o-o-o---oy was some-thing
C Cadd2 C/E C
You could to-o-o-o-o---o-o-ouch
Csus2 G6sus4 C/G G6sus4
I wrap it around me like a blan-ke---et
Csus2 G6sus4 C/G G6sus4
It's just you, me and the moo-oo---oon
C Em Fsus2 G7 Em
I know you're always throwing kisses from the sky
C Em G6add7 Em G6add7 Am
Well, to-night I caught o------one
C
Sixteen years old
Cadd9 C
I dare to swim further out
Cadd9 C Cadd9 C Em
I know you're always throw-ing kiss-es from the sky
G6add7 Em G6add7
Well, to-night I caught one