Yes absolutely. After your shares are issued you will receive a share certificate or DRS statement. You can take this evidence of the position to your broker, complete their form of power of attorney, and have the position deposited into your trading account.
This is an easy way to make sure that you get your allocation on a deal, and your subscription isn’t rejected due to incorrect brokerage account registration instructions.
Please note that a brokerage may not be able to deposit all positions. It is up to the broker what positions they will deposit into a trading account. For example, they may not deposit securities of a private company, or securities that are subject to restrictions on trading.