No. The first deposit bonus applies only to the very first deposit made across your entire profile, not per trading account. If you have already deposited into any trading account, a deposit into a new or additional account will be treated as a subsequent deposit.
For example, if you deposited $100 into your first MT5 trading account and later opened a second MT4 account and deposited $200, only the initial $100 deposit qualifies as your first deposit. The $200 into the second account is considered a subsequent deposit, even though it's the first deposit into that specific account.