Yes, with limits. You have a potential conflict of interest with the specific government entity that employs you, so you generally should not pursue contracts with your own employer or jurisdiction.
That restriction does not block you from the rest of the market. You can still pursue federal or state opportunities, and contracts with other counties, cities, and agencies. For example, an employee of one county government could not bid within that county but could successfully pursue contracts with other agencies and levels of government.
If you are in this situation, raise it in your strategy call so your mentor can position you correctly and keep your bidding clear of any conflict.