If you have more than one shareholder, you should be consulting an attorney. You may (and probably do) qualify for an exemption from obtaining a permit to issuing your shares, but a lawyer will tell you that whenever two or more unrelated persons own shares there should be a buy-sell agreement since there is no public market for the shares in the event of disablity, death or retirement. Delay in issuing the shares is not fatal, but the sooner done the better.
The above is general legal and business analysis. It is not "legal advice" but analysis, and different lawyers may analyse this matter differently, especially if there are additional facts not reflected in the question. I am not your attorney until retained by a written retainer agreement signed by both of us. I am only licensed in California. See also avvo.com terms and conditions item 9, incorporated as if it was reprinted here.
There are several additional facts that would be necessary to provide a complete answer and you should consult an attorney to discuss these facts. But, depending on what the corporation has done to this point, and how many shareholders you intend to issue stock to, there should not be any irreconcilable problems or issues for issuing stock at this point.
Issuing stock can be a tricky situation, and consulting a local attorney to assist you is the best advice.
The foregoing is not offered as legal advice, but is a general analysis of the situation posed by your question. I am not your attorney until I have been retained through a written retainer agreement which is signed by both of us. I am only licensed in California and make no representation as to the laws of other states.
It is not clear from your question whether there are one or two shareholders. You say it is a "one-person corporation" but then indicate there is a "minority investor." You should know that a failure to issue shares may, in and of itself, persuade a court to hold shareholders personally liable for corporate debts (piercing the corporate veil). Yes, you can issue shares now, and you will have to notify the California Securities Commission of the fact that you are issuing shares -- and advise which securities exemption you are claiming (a notification can be filed online at http://www.dbo.ca.gov/LOEN/default.asp). I suggest that you consult with an experienced business attorney to get your corporate affairs in order as soon as possible.
Disclaimer: This answer is provided for informational purposes only and is not intended to be relied on as legal advice. The information provided is general only, and no one should act upon this information in any specific matter without consulting with an attorney. No attorney-client relationship is intended to be formed by the conversations on this site.