Try:
SELECT [Name] FROM Data WHERE Model LIKE 'Keyword1%Keyword2'
Do note that your regex example won't work at all unless all the names are in all lower case, and there is no separating character between "surname" and "lastname" - for your username, it would match "junglee" but not "jung lee", "jungLEE", or even "jung ".
I'd strongly suggest that if you want to treat name parts as separate items ("surname" and "lastname" for example) then you store them as separate items in separate columns - it makes subsequent processing a lot easier if you speratate them in your presentation software where the string handling facilities are much, much better than SQL can cope with.