This is a perfectly normal use of the verb crawl. From the OED, with selected senses and a small subset of citations:
transferred. To be all ‘alive’ with crawling things; also figurative.
- 1576 A. Fleming tr. Pherecydes in Panoplie Epist. 204
All my skin cralled with lyce.
- 1902 R. Kipling Traffics & Discov. (1904) 185
There's a whole switchboard full o' nickel-plated muckin's which I haven't begun to play with yet. The starboard side's crawlin' with 'em.
- 1924 P. G. Wodehouse Bill the Conqueror vii. 143
‘He must be quite rich.’ ‘Crawling with money.’
- 1945 E. Waugh Brideshead Revisited 88
The country is crawling with Communists.
To have a sensation as of things crawling over the skin; to feel ‘creepy’, to ‘creep’.
- 1880 R. Grant Confessions Frivolous Girl 161
Kissing a ragged infant or two, whose dirtiness positively made me crawl.
- 1889 M. E. Wilkins Far-away Melody (1891) 15
You make me crawl all over, talkin' so much about dyin'.
So it made your skin have a sensation of things crawling over it. It felt a;ll creepy and crawly. :)
For sense 6, they provide a citation from Middle English and in a note suggest a possible French origin:
The first quot. here may really be from French crouler ‘to shake, tremble, quiver, quake’ (Cotgrave): see ᴄʀᴏᴡʟ v.
- a1400 (▸a1325) Cursor Mundi (Gött.) l. 3567
Quen þat he [sc. a man] bicomis alde..It crepis crouland [Trin. Cambr. hit crepeþ crulyng, Fairf. wiþ crepinge croulis] in his bac.
So: “When that a man becomes old, it creeps crawling (or crowling) on his back.”