not really, it was more to sealed memory(?). More like to save her from some royal problem (Will is son of concubine and and Frederick is son of queen. So there can be a faction who prefer Frederick as crown prince... and as Lana can be a weakness to him/she can get into dangerous situation, so...) , he forcefully sealed her memory (forgot if she too agree to let her memory's erased or not. Edit: No, Lana doesn't know. But, Duke Norris (basically Lana's family with her maid) and select few people know about the decision) that she has a childhood friend that she gave permission to call her 'Lana' name.
Edited: (more like additional note)
the first part of this chapter is about Lana dreams when she is still 4-5 years old.
https://ncode.syosetu.com/n6902el/33/
and in this chapter, he keep calling Lana as 'Lana' in his head, in later part, he said that 'She doesn't remember him'. And he want to try to make Lana who lives somewhere in country, will happy even without him appear in front of her (as to her, he was a stranger or more to ex-fiance's brother), without knowing that the landlady of the inn he visit (when he is incognito and he knows that she has the same name as 'Lana') and Lana that he knows is actually the same person
https://ncode.syosetu.com/n6902el/43/
Additional Spoiler:
So, in the Will's pov. Lana and him first met at the tea party (I think it is hosted by his mom) with Lana and her mother attending. From that they play together when they met (at tea party). Will is Lana's first love, and vice verse (because Will is really jealous of Evan as she talked to him about Evan). And they almost got engaged together. But, before that, Will got poisoned and he almost died. So, with few peoples who know about their almost engagement, he let Lana's memory sealed (but because Lana is special. The seal is not good and can be broken).
source: https://ncode.syosetu.com/n6902el/27/