You can't do this with the in-built VS Code keybindings functionality.
But you can do it if you use an extension. One such extension is the multi-command extension. It might look something like this:
{
"key": "ctrl+b",
"command": "extension.multiCommand.execute",
"args": {
"sequence": [
{
"command": "workbench.action.terminal.sendSequence",
"args": { "text": "\u0003" }
},
// TODO add your other commands. Ex.
// "cursorDown"
]
},
"when": "terminalFocus && !terminalTextSelected"
}
You can for info about how to use the extension here: https://github.com/ryuta46/vscode-multi-command#multi-command-readme. There are some other interesting capabilities of the extension that I won't go into here (because they're not directly relevant).