If you have a C&R Mk5 probably not. The Mk5 front trunion should have a barrel locating pin to keep the barrel upright. A Mk5 barrel will work in a MkII gun with no problems.
The Brits got around this for their Mk5(S) guns by making a split ring collar so that they could fit a MkII(S) silencer. The split collar also had the effect of being able to adjust headspace.
The Mk6 (factory silenced Mk5) eleminated the barrel locating pin.