Can I just put a 'try' around it?

Without knowing what your code looks like (SSCCE!), I'd say yes, try (e.g. from Try::Tiny or a modern Perl) is a standard way to catch errors like this and to have your code continue after handling the error. It also depends a bit on how your script is being run and how often this happens, if it doesn't happen all too often and you're running your script as a daemon, note there are process managers that will automatically restart crashed daemons.

Update: Since your last question was about RPi, is this on an RPi? Because there, since Raspbian already runs systemd, I just use that to manage my daemons. For example, here's a .service file I used on a project that used a Mojolicious webserver on an RPi:

# Docs: https://wiki.debian.org/systemd/Services
# Set me up via:
# $ sudo ln -s /home/pi/project/my_web.service /etc/systemd/system/
# $ sudo systemctl daemon-reload
# $ sudo systemctl enable my_web
# $ sudo systemctl start my_web

[Unit]
Description=My Web Service
After=network.target

[Service]
Type=simple
Restart=always
Environment="PERL5LIB=/home/pi/perl5/lib/perl5"
User=pi
Group=pi
ExecStart=/home/pi/project/web_app.pl daemon -m production -l http://*
+:8080

[Install]
WantedBy=multi-user.target
[download]

You can customize how the service gets managed, e.g. with things like KillSignal=SIGINT or RestartSec=30.