You get to defer income taxes on your contributions and investment earnings until you withdraw the money, usually after you retire. Based on your question, I suspect that your money is in one of these tax-sheltered annuities. You may have options that you don't know about. If so, you can at least direct your new contributions to these funds. Whether you also can move the money you have invested in an annuity depends on the terms of your annuity.
Some annuities impose surrender penalties on withdrawals.
If your money is in an annuity and you don't have a copy of the rules, ask the company to send you one. When you retire or change jobs, you can roll over your money to an individual retirement account with a brokerage or mutual fund company. You can then invest in any of the mutual funds your new IRA custodian offers. I think this is wrong. Any going concern has a need for funds to carry on whether it is July or December.