run bash command inside a cron job in ubuntu

That is completely possible. Just add the entry on the crontab file with crontab -e using the correct user. You can also move your script at /etc/cron.hourly. Just take in count that bash files under /etc/cron.hourly will run under root. If you want to run your script under a target user, use the crontab approach and make sure to provide the absolute path of your script and your user can execute the script. e.g

@hourly /my/bash/script.sh
#or
0 * * * * /my/bash/script.sh