No, look at your paper or PDF statement. The cancellation period is tied to the closing date of the statement which includes the Renewal Notice, not the statement which bills the fee.
How can I Avoid Membership Fees? If a Renewal Notice is printed on this statement, you may avoid paying an annual membership Fee by contacting Customer Service no later than 45 days after the last day in the Billing Cycle covered by this statement to request that we close your account. To avoid paying amonthly membership Fee, close your account and we will stop assessing your monthly membership Fee.
When does the renewal notice appear in relation to the annual fee being assessed? Is it on the statement right before the one that would have the AF on it??
Also, most issuers don't like when a card is closed less than a year after opening, at least when a SUB is involved. The general consensus is to let the AF post, and cancel within 30 days. This is how it works with most issuers. Would this effectively be similar?