Yes, the \D character class will let you catch everything before the numbers in "Testing01" and "myimages2".

printf "%20s %s\n", 'job_type', '#';
while (<DATA>) {
    my ($job_type, $job_number)
        = /job: "(\D+)(\d*)"\s*$/
        or next;
    printf "%20s %s\n", $job_type, $job_number;
}
__DATA__
Prefatory remarks, job: "Testing01"
More remarks, job: "mymusic"
Other stuff, job: "myimages2"
[download]

prints

            job_type #
             Testing 01
             mymusic
            myimages 2
[download]