sent thse few bitcoins to another address that wasn't my other wallet!!
That is ironical to what you say after
Thing is the amount has not being taken from my account.
You say you made a mistake and sent the BTCs.
Is there any way of getting it back?
All transactions are final unless you have 51%+ of the hash power of the network, it was a double spend or if it had no transaction fees.
The only hope is if you didn't add a transaction fee to it, in which case it will most likely be discarded by the miners and you should get it back .