Entirely possible, with the caveat that the Burkes are already pretty "multimission" as-is, but not recommended. Without AEGIS to defend themselves, your Strike Burkes would be exponentially more vulnerable than the standard Flight IIa. You'd save on the cost/weight of SPY, but unless you made a serious investment to redesign the deckhouse you wouldn't be able to take advantage of that additional weight. Not to mention, even a reduced, lighter-weight radar and combat system would need development and testing. Lots of time and money to cover a slightly expanded ASW and Strike role in a much more vulnerable Destroyer.