Yes, you can visit a portal like Jama.co.in and make your investments without having to quote Aadhar number.
If you have never invested before, you can also get a KYC done with our Aadhar. There is another option to get an eKYC done which requires an Aadhaar number, but that is optional.
Jamā helps you plan your finances and also provides access to thousands of online direct plans which entail zero commission.