Yes, but I’d advise against it for a bunch of practical and security reasons. I’ll explain below, but I really do suggest you just keep it sweet and simple on holiday. Stream from a nice big portable hard drive connected to a nice small portable wifi router. It’s faster more reliable and doesn’t depend on you having high speed internet access.
Continuing with options if you’re interested in remotely accessing your NAS then your only safe way is to correctly setup a personal openvpn server at home and compatible portable router running a properly configured VPN client so it can tunnel into your home network. Then you could stream from the nas as normal via the protocol of your choosing, but WebDAV would be my preference. So this is right way to do it and it can be quite tricky and some service providers, some countries block or throttle VPN, things to consider.
The simpler but dangerous way to enable remote access involves a basic change in your router settings, and everyone will tell you to do it… You would either set it into the DMZ mode (awful) or open a port in your router, then forward it to the NAS thereby making it accessible to you and anyone in the world who pings your home IP address on the port you specified. Eg 18.104.22.168:5001 You’d be inviting trouble doing this. Not worth it these days. Why?
Hackers crawl the internet everyday looking for vulernable devices and NASs are very attractive low hanging fruit because of the poor security, they are usually always-on and connected with guaranteed access to other devices on the network (propagate malware) they even offer free processing power (great for bitcoin miner malware, makes the hacker money using your internet and electricity and destroys the nas, happened recently to large number of synology customers) and lastly nas often contain people’s important data (great to steal and extort with ransomware). They’re like a honeypot to a Winnie the Pooh. Very doom and gloom but it’s true.
Goodluck and happy holidays!