Yes, Terraria supports crossplay, but only partially.
Partially, Terraria supports limited crossplay. PC players can only play with other PC players. PS3/Xbox 360 users may only be able to play with other users with their same system. Other console can play together. Currently, cross-progression is not supported, so your saves are locked to each platform.
Terraria is available on the following platforms:
Terraria multiplayer varies by platform. PC can host servers or use Steam. Mobile can connect to PC via IP addresses (unofficial). Current-gen consoles (PS4, Xbox One, Switch) can play together within their platform families. Older consoles (PS3, Xbox 360) are isolated.
Terraria fully supports offline single-player gameplay. You can create and explore worlds without an internet connection on all platforms.
Terraria supports local split-screen co-op on consoles (PlayStation, Xbox, Nintendo Switch) for up to 4 players. PC and Mobile do not support split-screen.
Official crossplay between PC and consoles is not fully implemented. The 1.4.5 update is expected to add more crossplay support, but no release date has been announced. Mobile-PC crossplay is unofficial and requires manual server setup.
Not officially. PC and console versions are on different update schedules and lack native crossplay. Mobile can sometimes connect to PC via IP, but this is unofficial.
No, PlayStation and Xbox players cannot play together. Each console family is separate.
The 1.4.5 update is planned to add more crossplay features, but Re-Logic has not announced a specific release date.
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