For the sea battle, yes; for the land battle, no.
Do transports count?
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If I must designate where my carriers go when I send my planes, I believe I am allowed to assume I win all battles with no losses. Does that mean I can attack a SZ with only a transport so if I win (which I can’t) my Carrier would be able to move through and provide a landing place for the fighters?
This would make no logical sense, but if it is in the rules, that’s great. -
No. You can assume that you will roll all hits and the defender will roll all misses, but even in that situation a transport cannot defeat a warship. The assumption must be that it’s at least possible to clear the sea zone, however unlikely.