Cost recovery law is complex and there is no simple "yes" or "no" answer to your question. In the County Court, High Court, and Court of Appeal (Civil Division), the governing law is found in the Civil Procedure Rules. A good starting point is Part 44 (general rules about costs) and in particular Rule 44.2 which provides:
(1) The court has discretion as to –
(a) whether costs are payable by one party to another;
(b) the amount of those costs; and
(c) when they are to be paid.
(2) If the court decides to make an order about costs –
(a) the general rule is that the unsuccessful party will be ordered to
pay the costs of the successful party; but
(b) the court may make a different order.
Whether or not you can recover costs (and how much) depends on many factors. See for example Rule 44.4 which lists (among others) the following factors:
- Whether the costs are proportionate.
- Whether the costs are reasonably incurred.
- Whether the costs are reasonable in amount.
- The conduct of the parties including efforts made to settle.
- The value of the case.
- The importance of the matter to the parties.
- The complexity of the case.
- Time spent on the case.
Settlement negotiations can also have specific cost implications, particularly if the formal Part 36 procedure is followed:
Rule 36.13 provides that a claimant can generally recover costs up to the point at which a Part 36 offer is accepted.
Rule 36.17 provides for cost consequences for a party who refuses a Part 36 offer and subsequently fails to achieve a better outcome in the proceedings.
Note that it is fairly common to be unable to recover all your costs even if you obtain a costs order in your favour.
For some types of case, you will generally be unable to recover costs at all, or only very limited costs. This applies to e.g. a case allocated to the Small Claims Track, pursuant to Rule 27.14 and also to many types of Tribunal cases.
Questions asking for specific legal advice are off-topic on this site. If you want to understand the cost implications for your specific scenario, your best bet would be to find a solicitor who will provide an initial free consultation, and then raise the issue of costs during that consultation. Be warned however that you will be unlikely to be given a definitive answer on whether you will recover costs, for the reasons set out above.