You want to know if any stocks from a list have reached 26-week highs in the last 4 days.
You should refer to How to Run a Query in GoogleSheets for New 26-Week Highs Using GOOGLEFINANCE Function and How to Create a Google Sheets Script for Reporting 26-Week New Highs using GOOGLEFINANCE Function?, as well as any source regarding "filtering dates in a QUERY".
Try this formula (refer cell K3 in the image below):
=if(count(QUERY({QUERY(GOOGLEFINANCE("GOOG","high",TODAY()-26*7,TODAY()),"select Col1, Col2 order by Col1 desc limit 4 label Col1 '', Col2 ''")},"select Col1, Col2 where Col1>= date '"&TEXT(today()-4+1,"yyyy-mm-dd")&"' and Col1 <= date '"&TEXT(today(),"yyyy-mm-dd")&"'",1))>=2,QUERY({QUERY(GOOGLEFINANCE("GOOG","high",TODAY()-26*7,TODAY()),"select Col1, Col2 order by Col1 desc limit 4 label Col1 '', Col2 ''")},"select Col1, Col2 where Col1>= date '"&TEXT(today()-4+1,"yyyy-mm-dd")&"' and Col1 <= date '"&TEXT(today(),"yyyy-mm-dd")&"'",1),)
Let's take the stock "GOOG".
=GOOGLEFINANCE("GOOG","high")
: this returns the current day's high price.
=GOOGLEFINANCE("GOOG","high",TODAY()-26*7,TODAY())
: this returns high price on every day within the last 26 weeks.
=QUERY(GOOGLEFINANCE("GOOG","high",TODAY()-26*7,TODAY()),"select Col1, Col2 order by Col1 desc limit 4 label Col1 '', Col2 ''")
: this returns the four highest prices in the last 26 days
Today's date: =today()
, and the date four days ago is =today()-4+1
.
So, the dates and values of the four highest 26-week values is:
=QUERY({QUERY(GOOGLEFINANCE("GOOG","high",TODAY()-26*7,TODAY()),"select Col1, Col2 order by Col1 desc limit 4 label Col1 '', Col2 ''")},"select Col1, Col2 where Col1>= date '"&TEXT(today()-4+1,"yyyy-mm-dd")&"' and Col1 <= date '"&TEXT(today(),"yyyy-mm-dd")&"'",1)
The number of instances returns by the query:
=count(QUERY({QUERY(GOOGLEFINANCE("GOOG","high",TODAY()-26*7,TODAY()),"select Col1, Col2 order by Col1 desc limit 4 label Col1 '', Col2 ''")},"select Col1, Col2 where Col1>= date '"&TEXT(today()-4+1,"yyyy-mm-dd")&"' and Col1 <= date '"&TEXT(today(),"yyyy-mm-dd")&"'",1))
So if the number of instances is >=2, then there are stocks that have hit their high price in the last four days.
Count and List of high's in last 4 days

Detailed breakdown
