Yes, absolutely. Although escrow services are less rare in the UK than, say, the USA, they are very much a thing and carried out by a small number of specialist escrow providers, trustees and banks.
This is rare. Where it is commonplace in the USA, for example, in the UK property conveyancing is a regulated activity so must be carried out be a regulated, qualified person. Those people (conveyancers, who are usually solicitors), handle the funds for the purchase, exchanging 'undertakings' (legally binding promises to pay when certain conditions are met), so there is no need for an independent third-party escrow agent.