Is there a way i can set the date to display e.g. 16th April?

I'm not sure if Access is capable of calculating "th" or "st" or "nd".

Any thoughts would be greatly appreciated.

Thankyou.

I don't know if there's any built-in function for it - I suspect not, as the suffixes will be different for different languages.

You could do it by creating a table:
daynumber, suffix
1,st
2,nd
3,rd
4,th
...
30,th
31,st

Then create a custom function to pull out the day part of the date, look it up in the table and tack on the relevant suffix.

This will work nicely:
Function fCardinalDate(Optional dtmDate As Date = 0) As String
' Immediate Window Test: fCardinalDate(Date) returns - December 13th, 2008

Dim strTemp As String

'Setting to 0 sets Date to the beginning - 12/30/1899 00:00:00
If dtmDate = #12:00:00 AM# Then dtmDate = Date

Select Case Day(dtmDate)
Case 1, 21, 31: strTemp = "st"
Case 2, 22: strTemp = "nd"
Case 3, 23: strTemp = "rd"
Case Else: strTemp = "th"
End Select
fCardinalDate = Format(dtmDate, "mmmm") & " " & _
Day(dtmDate) & strTemp & ", " & _
Year(dtmDate)
End Function