Not if that is a contract of service. Working in capacity of an employee is a form of
employment and there are even tax rules (IR35 rules) that cover this. You should read the dentition of employment status from HMRC website:
https://www.gov.uk/government/publicati ... tus-manual
Technically an employee can leave employment on Friday, start a company and begin working for the employer as a 'consultant' via his/her own company on Monday. This way you end up paying less NI tax and get benefits of a director even though you are still remain in capacity of an employee which means nothing has changed. To avoid this, HMRC still considers you an employee and imposes IR35 rules on you !
If you are working in capacity of an employee, you have a contract of service which makes you an employee of your client, not an entrepreneur or a business owner. Under Tier 1E route, you MUST not take any employment or work in capacity of employee as
ANY form of EMPLOYMENT is against the conditions of Tier 1E visa.
If a contract makes you personally responsible for the work, demands you to work in a certain place at the certain time and manages your work schedule, you are pretty much an EMPLOYEE. This kind of work is AGAINST the Tier 1E conditions no matter if you register as self-employed or a director
Advice is given based on my personal research and experience only. Do NOT contact me via private message for immigration advice