If you've opened a taxable, personal/cash account and have already invested into it, you can still open a registered account like a Registered Retirement Savings Plan (RRSP) or Tax-Free Savings Account (TFSA).
Provided you have the available contribution room in your RRSP or TFSA, you can simply open a new account of that type.
Once the new account is open, you can close your Personal/Cash account and withdraw all funds and simply re-deposit them into your registered account instead. This new deposit will count towards your contribution room for the year.
Management fees and any applicable sales tax will apply to any funds or assets held in the Personal/Cash account until withdrawn.