TV
Yes. The easiest way to do this is to get a Freeview HD or Freeview Play recorder. Just buy the box, plug it in and then you get to choose when you want to watch your favourite TV.
You can record a show by clicking on the TV Guide and then selecting the show you want to record. You can record a single programme or a whole series.
You can also pause and rewind live TV, so you need never miss a moment. All of this is at no monthly cost, after a one-off payment for the box.
Going abroad?
If you're leaving the country for holiday or work, you can also download on-demand and catch-up shows on the individual players and watch them offline. Useful to know, as you can't stream shows over the internet while you're abroad.
Just use the Freeview mobile app to find what you want to watch, download the programme within the individual player and you can then watch it through the player, wherever you are.
APP
You can use the Freeview mobile app to find content to download and watch offline, but you can't use it to record programmes.
How do I download content?
To find programmes to download, just tap the On Demand button on the menu at the bottom of the app. Tap on the programme you want to watch, and you'll be taken to the relevant channel's own player to download it and watch it when you want to (the download will come through the player's app, rather than the Freeview mobile app).
Going abroad?
Remember that if you're outside the UK, you can't download any content or stream any shows over the internet. So, make sure you've downloaded whatever you want to watch before you leave, so you can watch it offline when you're away.