Yes. Individuals and informal groups can run donation pages, auctions and ticketed events. Raffles are more tightly regulated, so check your local rules first.
Generally no. Gifts to an individual usually aren't tax-deductible. If deductibility matters to your supporters, consider partnering with a registered charity that can issue receipts for the cause.
Be clear about who is running the fundraiser, what the funds are for and how they'll be used, and share updates as you go.