[tripod01]

Hello, I would like to know if it is possible that there could be a delay in the sending and receiving of text messages from UK to people abroad in Canada.

[prking]

Yes, although you should note that SMS inter-operability is unreliable in Canada and the US.
On a general note, text messaging is not an instant messenging service and most handsets are setup to allow 1week for delivery. Of course in the UK we are used to them being very quick, except at busy times (eg New Year).