Sure you can!
1. Since to form an LLP you have to have at least two members, and there are a lot of non-UK residents who want to invest or do business via a UK LLP rather than via a
UK LTD, there are actually quite a few UK LLPs in existence that have a UK resident partner where the UK resident partner's role is only symbolic eg. he/she provides the UK address, presence, help with administration,
bank account etc. In all these cases the amount that goes to the UK resident member is - not surprisingly - a lot smaller than the amount that goes to the non-resident member who is the main investor of the partnership. In all these cases the HMRC is 'ok with it'.
2. The amount I used (£1000), was only to show that in spite of what most people think, you don't actually have to divide the profit in fixed percentages (eg. 60-40) between the members of an LLP if the partnership agreement is written accordingly. It can be the size of a UK salary, or whatever the original poster is comfortable with.
3. I have never lived in the UK, but one of my closest friends does live in Ireland and has the exact same setup with an Ireland LLP and a non-resident member from Malta (and he copied the solution from someone who did the same thing with an UK LLP). On a sidenote: he too used to use
Seychelles companies in the past instead and he also used to incorporate them for clients as a business up until it wasn't possible anymore to open local bank accounts for them.
However if the original poster wants to completely avoid all kinds of trickery (it didn't seem like it in the first post but who knows), company tax rate is a flat 9% in Hungary and lawyers and accountants are dirt cheap compared to UK standards.
I still believe the UK/Ireland LLP option to be the most tax efficient solution though.