Walking is a fair question to ask about this condition, and the answer depends on how your own back responds.
What can we say about walking?
Nothing verified, directly. Treat walking as neither cleared nor ruled out until a clinician has examined you.
What is documented is the kind of movement that tends to trouble people. Wikipedia says: Pain is most commonly felt or worsened by movements such as sitting, bending, lifting, and twisting.
How to use that
Walking is not on that list, and neither is it cleared by it. The sensible read is to watch your own response, since Wikipedia ties pain to specific movements and not to activity in general.
A fixed distance, pace or frequency is a number a clinician sets for you, not one to copy from elsewhere.
Next steps
Note which movements raise your pain and which do not, then bring that record to a visit. A reader in Little Falls should ask any office what the visit costs and what terms apply to follow-up.
For general background, WebMD's pain management center covers the wider field. OrthoInfo's sciatica page is useful if your pain travels into a leg.
A practitioner's note
An unanswered question is still information. It tells you to compare advice before acting on it, and to prefer the option you can adjust cheaply if it does not work.