"actually initially" is correct and usable in written English.
You can use it when referring to something that happened or was done first, but not the expected or normal order of events. For example, "Actually initially, I wanted to go to the park, but then I decided to go to the beach instead."
It was a Phoenician port actually initially.
I actually initially intended to switch to law.
Altman was actually initially rejected, but he "pushed back like a 40-year old" and told Graham that he would be joining the program.
Polyvore co-founder Pasha Sadri actually initially built Polyvore while he was remodeling his house, as a product to help him sort all of the options available.
It actually initially started as an extension of the apparel company Bumpy Pitch, which sells clothes inspired by the history of soccer as well as the roots of Los Angeles where the founders grew up.
The technology was actually initially developed as a cybercrime-fighting tool (under the name Isis Forensics) to help identify criminals in policing areas such as child protection and counter-terrorism.
Actually, he initially wnated to be an elephant, and the Welcome Trust, a British foundation that supports scientific research, approved his proposal.
I was actually misdiagnosed initially, and it was only after a further six weeks that I was referred to a surgeon.
For example, people would remember hearing the news from the TV, when actually they initially told the researchers that they had heard it through word of mouth.
"According to her parents her first words were 'me do it.' This is someone … who was born with the desire to lead". Lipstadt had actually been initially conflicted about a movie — with various threats and pressures, the case was a difficult time for her, and she wondered if its complexities could be conveyed onscreen.
Professor Ben Polak: $3.00 all right, so all of you actually wrote down initially how many coins you thought were in there, right?
