After the Battle of Culloden? Not to my knowledge - but it would be very unlikely. After the dissolution of the Somers Isles Company in 1684, there doesn't seem to have been any large scale immigration to Bermuda til the 1640s, when Portuguese islanders began to arrive (this is discluding, of course, the convict establishment at the HM Dockyard, where many British and Irish prisoners [including John Mitchel] were directed in the 19th Century).
Large numbers of prisoners-of-war and ethnically-cleansed civilians were sent to Bermuda in the 17th Century, and sold into slavery or seven-years of indentured servitude (not the same thing, although in these cases-where both the transport and the indenture were involuntary-there would have been little difference).
Most of those shipped in under these circumstances were Native Americans from New England (notably, following the Pequot War, and Metacomet's War), and Irish, following Cromwell's adventures in Ireland. Cromwell also invaded Scotland to depose its uncrowned king, and to force his 'protectorship' on the country. Following this, Scottish POWs were also sent to Bermuda and sold into indenture, although all accounts point out that their numbers were fewer than those of Irish POWs. The Irish sent to Bermuda are usually described as prisoners of war, but included many civilians, of both sexes. I've never found an indication that the Scottish prisoners included females, or civilians. The Scottish and Irish prisoners were recorded as having been ostracised from the (white) English Bermudians, and combined with the Natives American and Blacks.
By 1700, the political and economic realities in Bermuda had shifted far from the agricultural economy based on indentured servitude, and the (White) English majority had taken steps to stem the inward flow of Blacks and Irish, especially: terms of indenture for Blacks were raised from 7 to 99 years, clearly as a dissuasion from immigrating; free Blacks (possibly the majority of Blacks) were threatened with enslavement if they didn't emigrate; further imports of Irish were made illegal (following the discovery of a plot in which the Irish were seen as the chief culprits, which would have resulted in the overthrow of the colonial government and the murder of all the 'English').
By 1746, Bermuda's economy was wholly centred on ship-building, and maritime trades. The colony had also been self-governed since 1620. It is unlikely the population, or the government, would have welcomed potentially-troublesome POWs amongst them, and it is unlikely they could have found useful employment for them. As Bermuda was, by then, almost completely dependent on imported food, and often hovered on the brink of starvation, feeding idle hands would also have been unlikely. Of course, Bermuda was operating the salt industry of the Turks Islands at that time, and salt raking was such a cruel work that only slaves were employed in it. However, it's unlikely that Scottish POWs would have been accepted even for re-exporting to the Turks, and, again, I've certainly seen no record of it.
I'll check in "Bermuda From Sail To Steam" and post again if it says anything different.