Yes, it is possible, but you will need a format file where you define a fixed-length field for the 0x with 0 as the target column to specify that it is not to be imported.
Here is a simple example. First a table*:
CREATE TABLE sjaskig(a varbinary(50))
Then a data file:
0x47114711ABCDABCD
Next, the format file:
9.0
2
1 SQLCHAR 0 2 "" 0 "" ""
2 SQLCHAR 0 2 "\r\n" 1 a ""
I have \r\n since I'm on Windows. Change to \n for Linux.
Here is the BCP command:
bcp tempdb.dbo.sjaskig in C:\temp\slask.bcp -f slask.fmt -S Server -T
If you want to learn about format files, see this article on my web site:
https://www.sommarskog.se/bulkload.html.