Unlike Facebook, Instagram does not allow direct sharing of a link.

Links in stories (with Swipe-up) are only allowed for accounts that are verified or have more than 10,000 followers.

However, there are several solutions:

• -Put the link of your profile in bio, then invite your followers to click on it from a story
• -Self-tag in a story
• -Link via IGTV video
• -Discussion group etc.

Methods change often, so the best way to find out is to ask Google: How to Share a Link on Instagram

Here is an example of what can be done: