Green’s Dictionary of Slang

a mild excl., i.e. (Go)d rabbit!, (Go)d rat it!

1798		T. Morton Speed the Plough I i: Drabbit it, only to think of the zwaps and changes of this world!
1827		T. Morton A School For Grown Children V ii: Drabbit it, Squire, if we were to go home in these clothes how old Blucher would savage us.
1872		Schele De Vere Americanisms 599: Drat, a corruption – if such it can be called – of Dodrot, takes, in the United States, the place of the English Drabbit, which is but rarely heard here.
1905		H.G. Wells Kipps (1952) 17: Drat and drabbit that young rascal! What’s he a-doing of now?