Yes - although the transfer may be subject to tax and complex rules apply so you should seek professional advice before taking any action.
To transfer your pension savings, the overseas scheme must be a ‘qualifying recognised overseas pension scheme’ (QROPS) - essentially a scheme that meets certain requirements set by HMRC. It’s up to you to check this with the overseas scheme or your UK pension provider or adviser.
If it’s not a QROPS, your UK pension scheme may refuse to make the transfer, or you’ll have to pay at least 40% tax on the transfer.
In many cases, a separate charge can also apply (representing 25% of the funds transferred) where you are not resident in the same country as the QROPS is established (or unless you are both resident in the EEA). This charge can also apply if your residence changes within five years of the transfer. Further information on the UK considerations can be found on the government website here, but you would also need to understand the implications in the country in which the scheme is established.
Fixed Protection was an application that allowed an individual to secure a higher Lifetime Allowance (the overall cap that previously applied on UK relevant pension savings), where the level of the Lifetime Allowance was reduced previously.
In order to benefit from Fixed Protection, it was previously necessary to cease further pension savings permanently. Whereas the Lifetime Allowance charge was abolished from 6 April 2023, such protections are still relevant in terms of the level of tax-free lump sum that can be taken from a UK pension. However HMRC have confirmed that making further pension savings from 6 April 2023 onwards will not affect the additional lump sum entitlement based on protections in place prior to this. As a result, joining and contributing to a non-UK pension following your move should not affect this.