Yes you can but the chance is only 1 in 38,279 infections

Occurrence and significance of

Omicron BA.1 infection followed by BA.2 reinfection

Department of Virus and Microbiological Special Diagnostics, Statens Serum Institut, Copenhagen, Denmark

https://bit.ly/3s5QYWt

Omicron carries numerous mutations in key regions and is associated with increased transmissibility and immune escape.

Omicron BA.1 and BA.2

Whether BA.2 specifically can escape the natural immunity acquired shortly after a BA.1 infection

N = 1,8 million infections

November 22, 2021, until February 11, 2022

Individuals with two positive samples, more than 20 and less than 60 days apart

From a total of 187 reinfection cases, we identified 47 instances of BA.2 reinfections shortly after a BA.1 infection,

(So from 1,800,000 million, 47 did and 1,799.853 didn’t)

mostly in young unvaccinated individuals with mild disease not resulting in hospitalization or death.

In conclusion, we provide evidence that Omicron BA.2 reinfections do occur shortly after BA.1 infections but are rare.